Question 1

Find the angle rounded to the nearest hundredth of a degree.
sin B = 0.2724
B = __________ o

Accepted Answer

Question 2

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$a = 233 \mathrm {~km} , \angle B = 49.1 ^ { \circ }$$

Accepted Answer

A)  b = 269 km, c = 356 km 
B)  b = 153 km, c = 202 km 
C)  b = 202 km, c = 153 km 
D)  b = 240 km, c = 334 km 
E)  b = 308 km, c = 269 km 
A)  b = 269 km, c = 356 km 
B)  b = 153 km, c = 202 km 
C)  b = 202 km, c = 153 km 
D)  b = 240 km, c = 334 km 
E)  b = 308 km, c = 269 km

Question 3

A bullet is found embedded in the wall of a room 2.3 m above the floor. The bullet entered the wall going upward at an angle of 14 o. How far from the wall was the bullet fired if the gun was held 1.2 m above the wall? Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  5.5 m 
B)  4.4 m 
C)  6.1 m 
D)  0.3 m 
E)  3.8 m 
A)  5.5 m 
B)  4.4 m 
C)  6.1 m 
D)  0.3 m 
E)  3.8 m

Question 4

From the base of a building, measure out a horizontal distance of 225 ft along the ground. The angle of elevation to the top of the building is 57.0 o. Find the height of the building.

Accepted Answer

A)  338 ft 
B)  362 ft 
C)  366 ft 
D)  346 ft 
E)  319 ft 
A)  338 ft 
B)  362 ft 
C)  366 ft 
D)  346 ft 
E)  319 ft

Question 5

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$a = 19.7 \mathrm {~km} , \angle B = 63.7 ^ { \circ }$$

Accepted Answer

A)  b = 39.9 km, c = 44.5 km 
B)  b = 22.0 km, c = 39.9 km 
C)  b = 32.5 km, c = 38.0 km 
D)  b = 9.74 km, c = 8.73 km 
E)  b = 17.7 km, c = 9.74 km 
A)  b = 39.9 km, c = 44.5 km 
B)  b = 22.0 km, c = 39.9 km 
C)  b = 32.5 km, c = 38.0 km 
D)  b = 9.74 km, c = 8.73 km 
E)  b = 17.7 km, c = 9.74 km

Question 6

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 243.2 km, b = 272.1 km

Accepted Answer

A)  A = 46.79 o, B = 43.21 o 
B)  A = 44.29 o, B = 45.71 o 
C)  A = 31.82 o, B = 58.18 o 
D)  A = 41.79 o, B = 48.21 o 
E)  A = 19.16 o, B = 70.84 o 
A)  A = 46.79 o, B = 43.21 o 
B)  A = 44.29 o, B = 45.71 o 
C)  A = 31.82 o, B = 58.18 o 
D)  A = 41.79 o, B = 48.21 o 
E)  A = 19.16 o, B = 70.84 o

Question 7

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$b = 841.3 \mathrm {~km} , \angle A = 18.94$$

Accepted Answer

A)  a = 2,452 km, c = 288.7 km 
B)  a = 288.7 km, c = 889.5 km 
C)  a = 2,592 km, c = 2,452 km 
D)  a = 889.5 km, c = 2,592 km 
E)  a = 731.4 km, c = 1,115 km 
A)  a = 2,452 km, c = 288.7 km 
B)  a = 288.7 km, c = 889.5 km 
C)  a = 2,592 km, c = 2,452 km 
D)  a = 889.5 km, c = 2,592 km 
E)  a = 731.4 km, c = 1,115 km

Question 8

Find the width of the river in the illustration. Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  113 m 
B)  108 m 
C)  105 m 
D)  115 m 
E)  112 m 
A)  113 m 
B)  108 m 
C)  105 m 
D)  115 m 
E)  112 m

Question 9

Solve the right triangle. Round your answer to the appropriate number of significant digits. $$a = 14.2 \mathrm { mi } , c = 32.2 \mathrm { mi }$$

Accepted Answer

A)  $b = 35.2 \mathrm { mi } , \angle A = 26.2 ^ { \circ } , \angle B = 63.8 ^ { \circ }$ 
B)  $b = 28.9 \mathrm { mi } , \angle A = 26.2 ^ { \circ } , \angle B = 63.8 ^ { \circ }$ 
C)  $b = 14.2 \mathrm { mi } , \angle A = 18.1 ^ { \circ } , \angle B = 71.9 ^ { \circ }$ 
D)  $b = 14.2 \mathrm { mi } , \angle A = 63.8 ^ { \circ } , \angle B = 26.2 ^ { \circ }$ 
E)  $b = 28.9 \mathrm { mi } , \angle A = 37.7 ^ { \circ } , \angle B = 52.3 ^ { \circ }$ 
A)  $b = 35.2 \mathrm { mi } , \angle A = 26.2 ^ { \circ } , \angle B = 63.8 ^ { \circ }$ 
B)  $b = 28.9 \mathrm { mi } , \angle A = 26.2 ^ { \circ } , \angle B = 63.8 ^ { \circ }$ 
C)  $b = 14.2 \mathrm { mi } , \angle A = 18.1 ^ { \circ } , \angle B = 71.9 ^ { \circ }$ 
D)  $b = 14.2 \mathrm { mi } , \angle A = 63.8 ^ { \circ } , \angle B = 26.2 ^ { \circ }$ 
E)  $b = 28.9 \mathrm { mi } , \angle A = 37.7 ^ { \circ } , \angle B = 52.3 ^ { \circ }$

Question 10

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$

Accepted Answer

A)  $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 68.6 ^ { \circ }$ 
B)  $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 21.4 ^ { \circ }$ 
C)  $a = 13.6 \mathrm {~m} , b = 34.8 \mathrm {~m} , \angle B = 21.4 ^ { \circ }$ 
D)  $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 158.6 ^ { \circ }$ 
E)  $a = 13.6 \mathrm {~m} , b = 34.8 \mathrm {~m} , \angle B = 68.6 ^ { \circ }$ 
A)  $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 68.6 ^ { \circ }$ 
B)  $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 21.4 ^ { \circ }$ 
C)  $a = 13.6 \mathrm {~m} , b = 34.8 \mathrm {~m} , \angle B = 21.4 ^ { \circ }$ 
D)  $a = 34.8 \mathrm {~m} , b = 13.6 \mathrm {~m} , \angle B = 158.6 ^ { \circ }$ 
E)  $a = 13.6 \mathrm {~m} , b = 34.8 \mathrm {~m} , \angle B = 68.6 ^ { \circ }$

Question 11

The cables attached to a TV relay tower are $13 \overline { 0 }$ m long. They meet level ground at an angle of 50 o, as in the illustration. Find the height of the tower. Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  99.6 m 
B)  96.9 m 
C)  98.0 m 
D)  100.0 m 
E)  98.5 m 
A)  99.6 m 
B)  96.9 m 
C)  98.0 m 
D)  100.0 m 
E)  98.5 m

Question 12

The angle adjacent to side l is $$\angle$$ __________.

Accepted Answer

The answer of The angle adjacent to side l is...

Question 13

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 827 km, b = 2,770 km

Accepted Answer

A)  A = 19.1 o, B = 70.9 o 
B)  A = 11.6 o, B = 78.4 o 
C)  A = 16.6 o, B = 73.4 o 
D)  A = 20.4 o, B = 69.6 o 
E)  A = 36.2 o, B = 53.8 o 
A)  A = 19.1 o, B = 70.9 o 
B)  A = 11.6 o, B = 78.4 o 
C)  A = 16.6 o, B = 73.4 o 
D)  A = 20.4 o, B = 69.6 o 
E)  A = 36.2 o, B = 53.8 o

Question 14

A smokestack is $19 \overline { 0 }$ ft high. A guy wire must be fastened to the stack 30.0 ft from the top. The guy wire makes an angle of 40.0 o with the ground. Find the length of the guy wire. Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  270 ft 
B)  249 ft 
C)  276 ft 
D)  261 ft 
E)  255 ft 
A)  270 ft 
B)  249 ft 
C)  276 ft 
D)  261 ft 
E)  255 ft

Question 15

Using the triangle in the illustration, find tan A, rounded to three significant digits.   tan A = __________

Accepted Answer

The answer of Using the triangle in the illustration, find...

Question 16

Using the illustration, solve the right triangle. Express your answer using the appropriate number of significant digits. $b = 269.4 \mathrm {~m} , c = 380.8 \mathrm {~m}$   $a =$ __________ m $\angle A =$ __________ $  ^ { \circ }$ $\angle B =$ __________ $ ^ { \circ }$

Accepted Answer

The answer of Using the illustration, solve the right triangle....

Question 17

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side.
k = 20.2 mi, l = 16.1 mi   Side m is __________ mi.

Accepted Answer

The answer of Use the right triangle in the illustration...

Question 18

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 32.0 mi, l = 36.0 mi
The unknown side m is _____ mi.

Accepted Answer

A)  4.0 
B)  16.5 
C)  36.2 
D)  48.2 
E)  32.2 
A)  4.0 
B)  16.5 
C)  36.2 
D)  48.2 
E)  32.2

Question 19

Find the value of the trigonometric ratio rounded to three significant digits.
tan 77.05° = __________

Accepted Answer

The answer of Find the value of the trigonometric ratio...

Question 20

Solve the right triangle. Round your answer to the appropriate number of significant digits. $$a = 1,250 \mathrm {~km} , b = 1,620 \mathrm {~km}$$

Accepted Answer

A)  $c = 1,250 \mathrm {~km} , \angle A = 22.0 ^ { \circ } , \angle B = 68.0 ^ { \circ }$ 
B)  $c = 2050 \mathrm {~km} , \angle A = 39.3 ^ { \circ } , \angle B = 50.7 ^ { \circ }$ 
C)  $c = 2050 \mathrm {~km} , \angle A = 37.7 ^ { \circ } , \angle B = 52.3 ^ { \circ }$ 
D)  $c = 2050 \mathrm {~km} , \angle A = 37.7 ^ { \circ } , \angle B = 142.3 ^ { \circ }$ 
E)  $c = 1,250 \mathrm {~km} , \angle A = 52.3 ^ { \circ } , \angle B = 37.7 ^ { \circ }$ 
A)  $c = 1,250 \mathrm {~km} , \angle A = 22.0 ^ { \circ } , \angle B = 68.0 ^ { \circ }$ 
B)  $c = 2050 \mathrm {~km} , \angle A = 39.3 ^ { \circ } , \angle B = 50.7 ^ { \circ }$ 
C)  $c = 2050 \mathrm {~km} , \angle A = 37.7 ^ { \circ } , \angle B = 52.3 ^ { \circ }$ 
D)  $c = 2050 \mathrm {~km} , \angle A = 37.7 ^ { \circ } , \angle B = 142.3 ^ { \circ }$ 
E)  $c = 1,250 \mathrm {~km} , \angle A = 52.3 ^ { \circ } , \angle B = 37.7 ^ { \circ }$

Find the angle rounded to the nearest hundredth of a degree. sin B = 0.2724 B = __________ ^o

A bullet is found embedded in the wall of a room 2.3 m above the floor. The bullet entered the wall going upward at an angle of 14 ^o. How far from the wall was the bullet fired if the gun was held 1.2 m above the wall? Round your answer to the appropriate number of significant digits.

From the base of a building, measure out a horizontal distance of 225 ft along the ground. The angle of elevation to the top of the building is 57.0 ^o. Find the height of the building.

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 243.2 km, b = 272.1 km

Find the width of the river in the illustration. Round your answer to the appropriate number of significant digits.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 14.2 \mathrm { mi } , c = 32.2 \mathrm { mi }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. a = 14.2 \mathrm { mi } , c = 32.2 \mathrm { mi }$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$

The angle adjacent to side l is $\angle$ . $The angle adjacent to side l is \angle .$

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 827 km, b = 2,770 km

A smokestack is $19 \overline { 0 }$ ft high. A guy wire must be fastened to the stack 30.0 ft from the top. The guy wire makes an angle of 40.0 ^o with the ground. Find the length of the guy wire. Round your answer to the appropriate number of significant digits.

Using the triangle in the illustration, find tan A, rounded to three significant digits. tan A = __________

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 20.2 mi, l = 16.1 mi Side m is __________ mi.

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 32.0 mi, l = 36.0 mi The unknown side m is _____ mi.

Find the value of the trigonometric ratio rounded to three significant digits. tan 77.05° = __________

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 1,250 \mathrm {~km} , b = 1,620 \mathrm {~km}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. a = 1,250 \mathrm {~km} , b = 1,620 \mathrm {~km}$

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Exam 13: Right Triangle Trigonometry

Find the angle rounded to the nearest hundredth of a degree. sin B = 0.2724 B = __________ o

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. a=233 km,∠B=49.1∘a = 233 \mathrm {~km} , \angle B = 49.1 ^ { \circ }a=233 km,∠B=49.1∘

A bullet is found embedded in the wall of a room 2.3 m above the floor. The bullet entered the wall going upward at an angle of 14 o. How far from the wall was the bullet fired if the gun was held 1.2 m above the wall? Round your answer to the appropriate number of significant digits.

From the base of a building, measure out a horizontal distance of 225 ft along the ground. The angle of elevation to the top of the building is 57.0 o. Find the height of the building.

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. a=19.7 km,∠B=63.7∘a = 19.7 \mathrm {~km} , \angle B = 63.7 ^ { \circ }a=19.7 km,∠B=63.7∘

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 243.2 km, b = 272.1 km

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. b=841.3 km,∠A=18.94b = 841.3 \mathrm {~km} , \angle A = 18.94b=841.3 km,∠A=18.94

Find the width of the river in the illustration. Round your answer to the appropriate number of significant digits.

Solve the right triangle. Round your answer to the appropriate number of significant digits. a=14.2mi,c=32.2mia = 14.2 \mathrm { mi } , c = 32.2 \mathrm { mi }a=14.2mi,c=32.2mi

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠A=68.6∘,c=37.4 m\angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}∠A=68.6∘,c=37.4 m

The cables attached to a TV relay tower are 130‾13 \overline { 0 }130 m long. They meet level ground at an angle of 50 o, as in the illustration. Find the height of the tower. Round your answer to the appropriate number of significant digits.

The angle adjacent to side l is ∠\angle∠ __________.

Using the illustration, find the measure of each acute angle for the right triangle below. Answers are rounded using the appropriate rule for significant digits. a = 827 km, b = 2,770 km

A smokestack is 190‾19 \overline { 0 }190 ft high. A guy wire must be fastened to the stack 30.0 ft from the top. The guy wire makes an angle of 40.0 o with the ground. Find the length of the guy wire. Round your answer to the appropriate number of significant digits.

Using the triangle in the illustration, find tan A, rounded to three significant digits. tan A = __________

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 20.2 mi, l = 16.1 mi Side m is __________ mi.

Use the right triangle in the illustration and the Pythagorean theorem to find the unknown side. k = 32.0 mi, l = 36.0 mi The unknown side m is _____ mi.

Find the value of the trigonometric ratio rounded to three significant digits. tan 77.05° = __________

Solve the right triangle. Round your answer to the appropriate number of significant digits. a=1,250 km,b=1,620 kma = 1,250 \mathrm {~km} , b = 1,620 \mathrm {~km}a=1,250 km,b=1,620 km

Basic Concepts

Signed Numbers and Powers of 10

The Metric System

Measurement

Polynomials: an Introduction to Algebra

Equations and Formulas

Ratio and Proportion

Graphing Linear Equations

Systems of Linear Equations

Factoring Algebraic Expressions

Quadratic Equations

Geometry

Trigonometry With Any Angle

Basic Statistics

Binary and Hexadecimal Numbers

Filters

Find the angle rounded to the nearest hundredth of a degree. sin B = 0.2724 B = __________ ^o

A bullet is found embedded in the wall of a room 2.3 m above the floor. The bullet entered the wall going upward at an angle of 14 ^o. How far from the wall was the bullet fired if the gun was held 1.2 m above the wall? Round your answer to the appropriate number of significant digits.

From the base of a building, measure out a horizontal distance of 225 ft along the ground. The angle of elevation to the top of the building is 57.0 ^o. Find the height of the building.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 14.2 \mathrm { mi } , c = 32.2 \mathrm { mi }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. a = 14.2 \mathrm { mi } , c = 32.2 \mathrm { mi }$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle A = 68.6 ^ { \circ } , c = 37.4 \mathrm {~m}$

The angle adjacent to side l is $\angle$ . $The angle adjacent to side l is \angle .$

A smokestack is $19 \overline { 0 }$ ft high. A guy wire must be fastened to the stack 30.0 ft from the top. The guy wire makes an angle of 40.0 ^o with the ground. Find the length of the guy wire. Round your answer to the appropriate number of significant digits.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 1,250 \mathrm {~km} , b = 1,620 \mathrm {~km}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. a = 1,250 \mathrm {~km} , b = 1,620 \mathrm {~km}$