Question 1

The angle opposite side k is _____.

Accepted Answer

A)  ∠K 
B)  ∠L 
C)  ∠M 
A)  ∠K 
B)  ∠L 
C)  ∠M

Question 2

A piece of conduit 39.0 ft long cuts across the corner of a room, as shown in the illustration. Find length x and angle A. Round each answer to the appropriate number of significant digits.

Accepted Answer

A)  $\angle A =$ 59.7°, x = 34.7 ft 
B)  $\angle A =$ 61.4°, x = 33.0 ft 
C)  $\angle A =$ 60.8°, x = 34.1 ft 
D)  $\angle A =$ 58.6°, x = 31.9 ft 
E)  $\angle A =$ 59.1°, x = 32.4 ft 
A)  $\angle A =$ 59.7°, x = 34.7 ft 
B)  $\angle A =$ 61.4°, x = 33.0 ft 
C)  $\angle A =$ 60.8°, x = 34.1 ft 
D)  $\angle A =$ 58.6°, x = 31.9 ft 
E)  $\angle A =$ 59.1°, x = 32.4 ft

Question 3

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$a = 9,870 \mathrm { ft } , \angle B = 35.7 ^ { \circ }$$

Accepted Answer

A)  b = 12,200 ft, c = 5,760 ft 
B)  b = 7,090 ft, c = 12,200 ft 
C)  b = 13,700 ft, c = 8,020 ft 
D)  b = 11,400 ft, c = 15,100 ft 
E)  b = 5,760 ft, c = 13,700 ft 
A)  b = 12,200 ft, c = 5,760 ft 
B)  b = 7,090 ft, c = 12,200 ft 
C)  b = 13,700 ft, c = 8,020 ft 
D)  b = 11,400 ft, c = 15,100 ft 
E)  b = 5,760 ft, c = 13,700 ft

Question 4

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 42.7 ^ { \circ } , a = 261 \mathrm { ft }$

Accepted Answer

A)  $b = 355 \mathrm { ft } , c = 241 \mathrm { ft } , \angle A = 42.7 ^ { \circ }$ 
B)  $b = 241 \mathrm { ft } , c = 355 \mathrm { ft } , \angle A = 47.3 ^ { \circ }$ 
C)  $b = 241 \mathrm { ft } , c = 355 \mathrm { ft } , \angle A = 137.3 ^ { \circ }$ 
D)  $b = 355 \mathrm { ft } , c = 241 \mathrm { ft } , \angle A = 47.3 ^ { \circ }$ 
E)  $b = 241 \mathrm { ft } , c = 355 \mathrm { ft } , \angle A = 42.7 ^ { \circ }$ 
A)  $b = 355 \mathrm { ft } , c = 241 \mathrm { ft } , \angle A = 42.7 ^ { \circ }$ 
B)  $b = 241 \mathrm { ft } , c = 355 \mathrm { ft } , \angle A = 47.3 ^ { \circ }$ 
C)  $b = 241 \mathrm { ft } , c = 355 \mathrm { ft } , \angle A = 137.3 ^ { \circ }$ 
D)  $b = 355 \mathrm { ft } , c = 241 \mathrm { ft } , \angle A = 47.3 ^ { \circ }$ 
E)  $b = 241 \mathrm { ft } , c = 355 \mathrm { ft } , \angle A = 42.7 ^ { \circ }$

Question 5

Find the value of the trigonometric ratio rounded to four significant digits. tan 11.40 o

Accepted Answer

A)  0.1977 
B)  0.2016 
C)  4.959 
D)  0.9803 
E)  5.059 
A)  0.1977 
B)  0.2016 
C)  4.959 
D)  0.9803 
E)  5.059

Question 6

A mechanical draftsperson needs to find the distance across the corners of a hex-bolt. See the illustration. If the distance across the flats is 3.96 cm, find the distance x across the corners. Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  7.52 cm 
B)  6.32 cm 
C)  9.92 cm 
D)  7.92 cm 
E)  5.22 cm 
A)  7.52 cm 
B)  6.32 cm 
C)  9.92 cm 
D)  7.92 cm 
E)  5.22 cm

Question 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 = 836 m, b = 192 m

Accepted Answer

A)  A = 53.3 o, B = 36.7 o 
B)  A = 74.6 o, B = 15.4 o 
C)  A = 82.1 o, B = 7.9 o 
D)  A = 77.1 o, B = 12.9 o 
E)  A = 72.9 o, B = 17.1 o 
A)  A = 53.3 o, B = 36.7 o 
B)  A = 74.6 o, B = 15.4 o 
C)  A = 82.1 o, B = 7.9 o 
D)  A = 77.1 o, B = 12.9 o 
E)  A = 72.9 o, B = 17.1 o

Question 8

Find length x and angle A in the illustration. Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  $\angle A = 54.6 ^ { \circ } , 24.2 \mathrm { ft }$ 
B)  $\angle A = 56.3 ^ { \circ } , 23.1 \mathrm { ft }$ 
C)  $\angle A = 53.5 ^ { \circ } , 24.8 \mathrm { ft }$ 
D)  $\angle A = 54.3 ^ { \circ } , 23.9 \mathrm { ft }$ 
E)  $\angle A = 55.2 ^ { \circ } , 25.9 \mathrm { ft }$ 
A)  $\angle A = 54.6 ^ { \circ } , 24.2 \mathrm { ft }$ 
B)  $\angle A = 56.3 ^ { \circ } , 23.1 \mathrm { ft }$ 
C)  $\angle A = 53.5 ^ { \circ } , 24.8 \mathrm { ft }$ 
D)  $\angle A = 54.3 ^ { \circ } , 23.9 \mathrm { ft }$ 
E)  $\angle A = 55.2 ^ { \circ } , 25.9 \mathrm { ft }$

Question 9

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 = 348.2 m, b = 495.2 m

Accepted Answer

A)  A = 30.11 o, B = 59.89 o 
B)  A = 20.71 o, B = 69.29 o 
C)  A = 35.11 o, B = 54.89 o 
D)  A = 31.67 o, B = 58.33 o 
E)  A = 32.61 o, B = 57.39 o 
A)  A = 30.11 o, B = 59.89 o 
B)  A = 20.71 o, B = 69.29 o 
C)  A = 35.11 o, B = 54.89 o 
D)  A = 31.67 o, B = 58.33 o 
E)  A = 32.61 o, B = 57.39 o

Question 10

Use the triangle in the illustration. Find tan L rounded to three significant digits.

Accepted Answer

A)  0.141 
B)  0.069 
C)  0.691 
D)  0.951 
E)  0.447 
A)  0.141 
B)  0.069 
C)  0.691 
D)  0.951 
E)  0.447

Question 11

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$b = 29,400 \mathrm {~km} , \angle A = 12.4 ^ { \circ }$$

Accepted Answer

A)  a = 6,310 km, c = 134,000 km 
B)  a = 20,400 km, c = 35,800 km 
C)  a = 6,460 km, c = 30,100 km 
D)  a = 137,000 km, c = 6,310 km 
E)  a = 134,000 km, c = 28,700 km 
A)  a = 6,310 km, c = 134,000 km 
B)  a = 20,400 km, c = 35,800 km 
C)  a = 6,460 km, c = 30,100 km 
D)  a = 137,000 km, c = 6,310 km 
E)  a = 134,000 km, c = 28,700 km

Question 12

Find the angle rounded to the nearest hundredth of a degree. cos A = 0.7318

Accepted Answer

A)  A = 42.96 o 
B)  A = 53.80 o 
C)  A = 85.75 o 
D)  A = 47.04 o 
E)  A = 77.01 o 
A)  A = 42.96 o 
B)  A = 53.80 o 
C)  A = 85.75 o 
D)  A = 47.04 o 
E)  A = 77.01 o

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 = 1,415 km, b = 2,982 km

Accepted Answer

A)  A = 25.38 o, B = 64.62 o 
B)  A = 69.62 o, B = 20.38 o 
C)  A = 35.81 o, B = 54.19 o 
D)  A = 62.12 o, B = 27.88 o 
E)  A = 20.80 o, B = 69.20 o 
A)  A = 25.38 o, B = 64.62 o 
B)  A = 69.62 o, B = 20.38 o 
C)  A = 35.81 o, B = 54.19 o 
D)  A = 62.12 o, B = 27.88 o 
E)  A = 20.80 o, B = 69.20 o

Question 14

The hypotenuse is _____.

Accepted Answer

A)  a 
B)  c 
C)  b 
A)  a 
B)  c 
C)  b

Question 15

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$a = 1,920 \mathrm {~m} , \angle A = 18.4 ^ { \circ }$$

Accepted Answer

A)  b = 606.0 m, c = 5,772 m 
B)  b = 638.7 m, c = 606.0 m 
C)  b = 5,770 m, c = 6,080 m 
D)  b = 2,320 m, c = 3,010 m 
E)  b = 2,020 m, c = 1,820 m 
A)  b = 606.0 m, c = 5,772 m 
B)  b = 638.7 m, c = 606.0 m 
C)  b = 5,770 m, c = 6,080 m 
D)  b = 2,320 m, c = 3,010 m 
E)  b = 2,020 m, c = 1,820 m

Question 16

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 12.00 \mathrm {~m} , b = 26.15 \mathrm {~m}$

Accepted Answer

A)  $c = 38.15 \mathrm {~m} , \angle A = 24.65 ^ { \circ } , \angle B = 65.35 ^ { \circ }$ 
B)  $c = 28.77 \mathrm {~m} , \angle A = 24.65 ^ { \circ } , \angle B = 65.35 ^ { \circ }$ 
C)  $c = 26.15 \mathrm {~m} , \angle A = 65.35 ^ { \circ } , \angle B = 24.65 ^ { \circ }$ 
D)  $c = 28.77 \mathrm {~m} , \angle A = 38.70 ^ { \circ } , \angle B = 51.30 ^ { \circ }$ 
E)  $c = 26.15 \mathrm {~m} , \angle A = 21.50 ^ { \circ } , \angle B = 68.50 ^ { \circ }$ 
A)  $c = 38.15 \mathrm {~m} , \angle A = 24.65 ^ { \circ } , \angle B = 65.35 ^ { \circ }$ 
B)  $c = 28.77 \mathrm {~m} , \angle A = 24.65 ^ { \circ } , \angle B = 65.35 ^ { \circ }$ 
C)  $c = 26.15 \mathrm {~m} , \angle A = 65.35 ^ { \circ } , \angle B = 24.65 ^ { \circ }$ 
D)  $c = 28.77 \mathrm {~m} , \angle A = 38.70 ^ { \circ } , \angle B = 51.30 ^ { \circ }$ 
E)  $c = 26.15 \mathrm {~m} , \angle A = 21.50 ^ { \circ } , \angle B = 68.50 ^ { \circ }$

Question 17

The angle opposite side d is $$\angle$$ __________.

Accepted Answer

The answer of The angle opposite side d is $$\angle$$...

Question 18

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. $a = 163 \mathrm {~km} , b = 699 \mathrm {~km}$   A = __________°
B = __________°

Accepted Answer

The answer of Using the illustration, find the measure of...

Question 19

Solve the right triangle. Round your answer to the appropriate number of significant digits. $$\angle B = 83.5 ^ { \circ } , b = 9,390 \mathrm { ft }$$

Accepted Answer

A)  $a = 1070 \mathrm { ft } , c = 9450 \mathrm { ft } , \angle A = 83.5 ^ { \circ }$ 
B)  $a = 1070 \mathrm { ft } , c = 9450 \mathrm { ft } , \angle A = 96.5 ^ { \circ }$ 
C)  $a = 9450 \mathrm { ft } , c = 1070 \mathrm { ft } , \angle A = 83.5 ^ { \circ }$ 
D)  $a = 9450 \mathrm { ft } , c = 1070 \mathrm { ft } , \angle A = 6.5 ^ { \circ }$ 
E)  $a = 1070 \mathrm { ft } , c = 9450 \mathrm { ft } , \angle A = 6.5 ^ { \circ }$ 
A)  $a = 1070 \mathrm { ft } , c = 9450 \mathrm { ft } , \angle A = 83.5 ^ { \circ }$ 
B)  $a = 1070 \mathrm { ft } , c = 9450 \mathrm { ft } , \angle A = 96.5 ^ { \circ }$ 
C)  $a = 9450 \mathrm { ft } , c = 1070 \mathrm { ft } , \angle A = 83.5 ^ { \circ }$ 
D)  $a = 9450 \mathrm { ft } , c = 1070 \mathrm { ft } , \angle A = 6.5 ^ { \circ }$ 
E)  $a = 1070 \mathrm { ft } , c = 9450 \mathrm { ft } , \angle A = 6.5 ^ { \circ }$

Question 20

A roadbed rises 250 ft for each 2800 ft of horizontal. (See the illustration.) Find the angle of inclination of the roadbed. (This is usually referred to as % of grade.) Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  7.8 o 
B)  5.1 o 
C)  6.7 o 
D)  6.4 o 
E)  6.2 o 
A)  7.8 o 
B)  5.1 o 
C)  6.7 o 
D)  6.4 o 
E)  6.2 o

The angle opposite side k is _____.

A piece of conduit 39.0 ft long cuts across the corner of a room, as shown in the illustration. Find length x and angle A. Round each answer to the appropriate number of significant digits.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 42.7 ^ { \circ } , a = 261 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 42.7 ^ { \circ } , a = 261 \mathrm { ft }$

Find the value of the trigonometric ratio rounded to four significant digits. tan 11.40 ^o

A mechanical draftsperson needs to find the distance across the corners of a hex-bolt. See the illustration. If the distance across the flats is 3.96 cm, find the distance x across the corners. Round your answer to the appropriate number of significant digits.

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 = 836 m, b = 192 m

Find length x and angle A in the illustration. Round your answer to the appropriate number of significant digits.

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 = 348.2 m, b = 495.2 m

Use the triangle in the illustration. Find tan L rounded to three significant digits.

Find the angle rounded to the nearest hundredth of a degree. cos A = 0.7318

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 = 1,415 km, b = 2,982 km

The hypotenuse is _____.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 12.00 \mathrm {~m} , b = 26.15 \mathrm {~m}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. a = 12.00 \mathrm {~m} , b = 26.15 \mathrm {~m}$

The angle opposite side d is $\angle$ . $The angle opposite side d is \angle .$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 83.5 ^ { \circ } , b = 9,390 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 83.5 ^ { \circ } , b = 9,390 \mathrm { ft }$

A roadbed rises 250 ft for each 2800 ft of horizontal. (See the illustration.) Find the angle of inclination of the roadbed. (This is usually referred to as % of grade.) Round your answer to the appropriate number of significant digits.

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

The angle opposite side k is _____.

A piece of conduit 39.0 ft long cuts across the corner of a room, as shown in the illustration. Find length x and angle A. Round each answer to the appropriate number of significant digits.

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. a=9,870ft,∠B=35.7∘a = 9,870 \mathrm { ft } , \angle B = 35.7 ^ { \circ }a=9,870ft,∠B=35.7∘

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠B=42.7∘,a=261ft\angle B = 42.7 ^ { \circ } , a = 261 \mathrm { ft }∠B=42.7∘,a=261ft

Find the value of the trigonometric ratio rounded to four significant digits. tan 11.40 o

A mechanical draftsperson needs to find the distance across the corners of a hex-bolt. See the illustration. If the distance across the flats is 3.96 cm, find the distance x across the corners. Round your answer to the appropriate number of significant digits.

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 = 836 m, b = 192 m

Find length x and angle A in the illustration. Round your answer to the appropriate number of significant digits.

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 = 348.2 m, b = 495.2 m

Use the triangle in the illustration. Find tan L rounded to three significant digits.

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. b=29,400 km,∠A=12.4∘b = 29,400 \mathrm {~km} , \angle A = 12.4 ^ { \circ }b=29,400 km,∠A=12.4∘

Find the angle rounded to the nearest hundredth of a degree. cos A = 0.7318

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 = 1,415 km, b = 2,982 km

The hypotenuse is _____.

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. a=1,920 m,∠A=18.4∘a = 1,920 \mathrm {~m} , \angle A = 18.4 ^ { \circ }a=1,920 m,∠A=18.4∘

Solve the right triangle. Round your answer to the appropriate number of significant digits. a=12.00 m,b=26.15 ma = 12.00 \mathrm {~m} , b = 26.15 \mathrm {~m}a=12.00 m,b=26.15 m

The angle opposite side d is ∠\angle∠ __________.

Using the illustration, find the measure of each acute angle for the right triangle below and express your answer using the appropriate rule for significant digits. a=163 km,b=699 kma = 163 \mathrm {~km} , b = 699 \mathrm {~km}a=163 km,b=699 km A = __________° B = __________°

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠B=83.5∘,b=9,390ft\angle B = 83.5 ^ { \circ } , b = 9,390 \mathrm { ft }∠B=83.5∘,b=9,390ft

A roadbed rises 250 ft for each 2800 ft of horizontal. (See the illustration.) Find the angle of inclination of the roadbed. (This is usually referred to as % of grade.) Round your answer to the appropriate number of significant digits.

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

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 42.7 ^ { \circ } , a = 261 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 42.7 ^ { \circ } , a = 261 \mathrm { ft }$

Find the value of the trigonometric ratio rounded to four significant digits. tan 11.40 ^o

Solve the right triangle. Round your answer to the appropriate number of significant digits. $a = 12.00 \mathrm {~m} , b = 26.15 \mathrm {~m}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. a = 12.00 \mathrm {~m} , b = 26.15 \mathrm {~m}$

The angle opposite side d is $\angle$ . $The angle opposite side d is \angle .$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 83.5 ^ { \circ } , b = 9,390 \mathrm { ft }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 83.5 ^ { \circ } , b = 9,390 \mathrm { ft }$