Question 1

Find the value of the trigonometric ratio rounded to four significant digits.
tan 13.75° = __________

Accepted Answer

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

Question 2

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$b = 12,250 \mathrm {~cm} , \angle B = 69.71 ^ { \circ }$$

Accepted Answer

A)  a = 35,330 m, c = 4,250 m 
B)  a = 8,950 m, c = 15,170 m 
C)  a = 33,130 m, c = 11,490 m 
D)  a = 4,529 m, c = 13,060 m 
E)  a = 11,490 m, c = 4,530 m 
A)  a = 35,330 m, c = 4,250 m 
B)  a = 8,950 m, c = 15,170 m 
C)  a = 33,130 m, c = 11,490 m 
D)  a = 4,529 m, c = 13,060 m 
E)  a = 11,490 m, c = 4,530 m

Question 3

Solve the right triangle. Round your answer to the appropriate number of significant digits.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

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 = 57.06 mi, b = 97.82 mi

Accepted Answer

A)  A = 30.26 o, B = 59.74 o 
B)  A = 20.61 o, B = 69.39 o 
C)  A = 25.26 o, B = 64.74 o 
D)  A = 32.76 o, B = 57.24 o 
E)  A = 32.77 o, B = 57.23 o 
A)  A = 30.26 o, B = 59.74 o 
B)  A = 20.61 o, B = 69.39 o 
C)  A = 25.26 o, B = 64.74 o 
D)  A = 32.76 o, B = 57.24 o 
E)  A = 32.77 o, B = 57.23 o

Question 5

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$a = 3,684 \mathrm {~m} , \angle B = 10.02 ^ { \circ }$$

Accepted Answer

A)  b = 21,170 m, c = 650.9 m 
B)  b = 641.0 m, c = 20,850 m 
C)  b = 9,550 m, c = 10,240 m 
D)  b = 20,850 m, c = 3,628 m 
E)  b = 650.9 m, c = 3,741 m 
A)  b = 21,170 m, c = 650.9 m 
B)  b = 641.0 m, c = 20,850 m 
C)  b = 9,550 m, c = 10,240 m 
D)  b = 20,850 m, c = 3,628 m 
E)  b = 650.9 m, c = 3,741 m

Question 6

Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. $C = 49.8 \mathrm {~cm} , \angle A = 36.2 ^ { \circ }$   a = __________ cm
b = __________ cm

Accepted Answer

The answer of Find the unknown sides of the right...

Question 7

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$b = 73.8 \mathrm {~cm} , \angle B = 15.0 ^ { \circ }$$

Accepted Answer

A)  a = 275 cm, c = 285 cm 
B)  a = 68.2 cm, c = 100 cm 
C)  a = 71.3 cm, c = 275 cm 
D)  a = 19.8 cm, c = 76.4 cm 
E)  a = 285 cm, c = 71.3 cm 
A)  a = 275 cm, c = 285 cm 
B)  a = 68.2 cm, c = 100 cm 
C)  a = 71.3 cm, c = 275 cm 
D)  a = 19.8 cm, c = 76.4 cm 
E)  a = 285 cm, c = 71.3 cm

Question 8

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 = 61.0 cm, c = 122 cm

Accepted Answer

A)  A = 81.0 o, B = 9.0 o 
B)  A = 25.0 o, B = 65.0 o 
C)  A = 45.0 o, B = 45.0 o 
D)  A = 40.0 o, B = 50.0 o 
E)  A = 30.0 o, B = 60.0 o 
A)  A = 81.0 o, B = 9.0 o 
B)  A = 25.0 o, B = 65.0 o 
C)  A = 45.0 o, B = 45.0 o 
D)  A = 40.0 o, B = 50.0 o 
E)  A = 30.0 o, B = 60.0 o

Question 9

Using the triangle in the illustration, find cos K.   cos K = __________

Accepted Answer

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

Question 10

A railroad track has an angle of elevation of 7.0 o. What is the difference in height (in feet) of two points on the track 1.00 mi apart? Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  651 ft 
B)  665 ft 
C)  664 ft 
D)  648 ft 
E)  669 ft 
A)  651 ft 
B)  665 ft 
C)  664 ft 
D)  648 ft 
E)  669 ft

Question 11

Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. $b = 28.7 \mathrm { ft } , \angle A = 65.3 ^ { \circ }$   a = __________ ft
c = __________ ft

Accepted Answer

The answer of Find the unknown sides of the right...

Question 12

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 31.48 ^ { \circ } , a = 72.94 \mathrm {~m}$

Accepted Answer

A)  $b = 44.66 \mathrm {~m} , c = 85.53 \mathrm {~m} , \angle A = 58.52 ^ { \circ }$ 
B)  $b = 85.53 \mathrm {~m} , c = 44.66 \mathrm {~m} , \angle A = 58.52 ^ { \circ }$ 
C)  $b = 119.1 \mathrm {~m} , c = 85.53 \mathrm {~m} , \angle A = 58.52 ^ { \circ }$ 
D)  $b = 44.66 \mathrm {~m} , c = 85.53 \mathrm {~m} , \angle A = 31.48 ^ { \circ }$ 
E)  $b = 85.53 \mathrm {~m} , c = 44.66 \mathrm {~m} , \angle A = 31.48 ^ { \circ }$ 
A)  $b = 44.66 \mathrm {~m} , c = 85.53 \mathrm {~m} , \angle A = 58.52 ^ { \circ }$ 
B)  $b = 85.53 \mathrm {~m} , c = 44.66 \mathrm {~m} , \angle A = 58.52 ^ { \circ }$ 
C)  $b = 119.1 \mathrm {~m} , c = 85.53 \mathrm {~m} , \angle A = 58.52 ^ { \circ }$ 
D)  $b = 44.66 \mathrm {~m} , c = 85.53 \mathrm {~m} , \angle A = 31.48 ^ { \circ }$ 
E)  $b = 85.53 \mathrm {~m} , c = 44.66 \mathrm {~m} , \angle A = 31.48 ^ { \circ }$

Question 13

Find the unknown sides of the right triangle (see illustration). Round your answer to one decimal place. $$b = 28.6 \mathrm { ft } , \angle A = 65.1 ^ { \circ }$$

Accepted Answer

A)  a = 12.0 ft, c = 13.3 ft 
B)  a = 61.6 ft, c = 67.9 ft 
C)  a = 38.7 ft, c = 48.1 ft 
D)  a = 13.3 ft, c = 12.0 ft 
E)  a = 31.5 ft, c = 61.6 ft 
A)  a = 12.0 ft, c = 13.3 ft 
B)  a = 61.6 ft, c = 67.9 ft 
C)  a = 38.7 ft, c = 48.1 ft 
D)  a = 13.3 ft, c = 12.0 ft 
E)  a = 31.5 ft, c = 61.6 ft

Question 14

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. $$b = 21.67 \mathrm {~km} , \angle B = 82.01 ^ { \circ }$$

Accepted Answer

A)  a = 154.4 km, c = 21.46 km 
B)  a = 16.2 km, c = 27.04 km 
C)  a = 155.9 km, c = 154.4 km 
D)  a = 3.042 km, c = 21.88 km 
E)  a = 21.88 km, c = 3.042 km 
A)  a = 154.4 km, c = 21.46 km 
B)  a = 16.2 km, c = 27.04 km 
C)  a = 155.9 km, c = 154.4 km 
D)  a = 3.042 km, c = 21.88 km 
E)  a = 21.88 km, c = 3.042 km

Question 15

Solve the right triangle. Round your answer to the appropriate number of significant digits. $b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$

Accepted Answer

A)  $a = 29.8 \mathrm { mi } , \angle A = 52.3 ^ { \circ } , \angle B = 37.7 ^ { \circ }$ 
B)  $a = 29.8 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 112.8 ^ { \circ }$ 
C)  $a = 29.8 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 67.2 ^ { \circ }$ 
D)  $a = 77.0 \mathrm { mi } , \angle A = 67.2 ^ { \circ } , \angle B = 22.8 ^ { \circ }$ 
E)  $a = 71.0 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 67.2 ^ { \circ }$ 
A)  $a = 29.8 \mathrm { mi } , \angle A = 52.3 ^ { \circ } , \angle B = 37.7 ^ { \circ }$ 
B)  $a = 29.8 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 112.8 ^ { \circ }$ 
C)  $a = 29.8 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 67.2 ^ { \circ }$ 
D)  $a = 77.0 \mathrm { mi } , \angle A = 67.2 ^ { \circ } , \angle B = 22.8 ^ { \circ }$ 
E)  $a = 71.0 \mathrm { mi } , \angle A = 22.8 ^ { \circ } , \angle B = 67.2 ^ { \circ }$

Question 16

Find the value of the trigonometric ratio rounded to four significant digits.
sin 38.72° = __________

Accepted Answer

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

Question 17

A small plane takes off from an airport and begins to climb at a 15.0 o angle of elevation at $50 \overline { 0 }$ ft/min. After 25.0 min, how far along the ground will the plane have flown? Round your answer to the appropriate number of significant digits.

Accepted Answer

A)  12,800 ft 
B)  12,400 ft 
C)  12,300 ft 
D)  12,700 ft 
E)  12,100 ft 
A)  12,800 ft 
B)  12,400 ft 
C)  12,300 ft 
D)  12,700 ft 
E)  12,100 ft

Question 18

Find the angle rounded to the nearest tenth of a degree. cos C = 0.8510

Accepted Answer

A)  C = 49.6 o 
B)  C = 58.3 o 
C)  C = 37.8 o 
D)  C = 31.7 o 
E)  C = 65.4 o 
A)  C = 49.6 o 
B)  C = 58.3 o 
C)  C = 37.8 o 
D)  C = 31.7 o 
E)  C = 65.4 o

Question 19

Find the angle rounded to the nearest hundredth of a degree.
cos B = 0.7852
B = __________ o

Accepted Answer

Question 20

Find the angle rounded to the nearest tenth of a degree.
tan C = 0.1553
C = __________ o

Accepted Answer

Find the value of the trigonometric ratio rounded to four significant digits. tan 13.75° = __________

Solve the right triangle. 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 = 57.06 mi, b = 97.82 mi

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 = 61.0 cm, c = 122 cm

Using the triangle in the illustration, find cos K. cos K = __________

A railroad track has an angle of elevation of 7.0 ^o. What is the difference in height (in feet) of two points on the track 1.00 mi apart? Round your answer to the appropriate number of significant digits.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 31.48 ^ { \circ } , a = 72.94 \mathrm {~m}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 31.48 ^ { \circ } , a = 72.94 \mathrm {~m}$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$

Find the value of the trigonometric ratio rounded to four significant digits. sin 38.72° = __________

A small plane takes off from an airport and begins to climb at a 15.0 ^o angle of elevation at $50 \overline { 0 }$ ft/min. After 25.0 min, how far along the ground will the plane have flown? Round your answer to the appropriate number of significant digits.

Find the angle rounded to the nearest tenth of a degree. cos C = 0.8510

Find the angle rounded to the nearest hundredth of a degree. cos B = 0.7852 B = __________ ^o

Find the angle rounded to the nearest tenth of a degree. tan C = 0.1553 C = __________ ^o

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 value of the trigonometric ratio rounded to four significant digits. tan 13.75° = __________

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. b=12,250 cm,∠B=69.71∘b = 12,250 \mathrm {~cm} , \angle B = 69.71 ^ { \circ }b=12,250 cm,∠B=69.71∘

Solve the right triangle. 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 = 57.06 mi, b = 97.82 mi

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. a=3,684 m,∠B=10.02∘a = 3,684 \mathrm {~m} , \angle B = 10.02 ^ { \circ }a=3,684 m,∠B=10.02∘

Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. C=49.8 cm,∠A=36.2∘C = 49.8 \mathrm {~cm} , \angle A = 36.2 ^ { \circ }C=49.8 cm,∠A=36.2∘ a = __________ cm b = __________ cm

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. b=73.8 cm,∠B=15.0∘b = 73.8 \mathrm {~cm} , \angle B = 15.0 ^ { \circ }b=73.8 cm,∠B=15.0∘

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 = 61.0 cm, c = 122 cm

Using the triangle in the illustration, find cos K. cos K = __________

A railroad track has an angle of elevation of 7.0 o. What is the difference in height (in feet) of two points on the track 1.00 mi apart? Round your answer to the appropriate number of significant digits.

Find the unknown sides of the right triangle (see illustration). Express your answer using the appropriate number of significant digits. b=28.7ft,∠A=65.3∘b = 28.7 \mathrm { ft } , \angle A = 65.3 ^ { \circ }b=28.7ft,∠A=65.3∘ a = __________ ft c = __________ ft

Solve the right triangle. Round your answer to the appropriate number of significant digits. ∠B=31.48∘,a=72.94 m\angle B = 31.48 ^ { \circ } , a = 72.94 \mathrm {~m}∠B=31.48∘,a=72.94 m

Find the unknown sides of the right triangle (see illustration). Round your answer to one decimal place. b=28.6ft,∠A=65.1∘b = 28.6 \mathrm { ft } , \angle A = 65.1 ^ { \circ }b=28.6ft,∠A=65.1∘

Find the unknown sides of the right triangle (see illustration). Round your answer to the appropriate number of significant digits. b=21.67 km,∠B=82.01∘b = 21.67 \mathrm {~km} , \angle B = 82.01 ^ { \circ }b=21.67 km,∠B=82.01∘

Solve the right triangle. Round your answer to the appropriate number of significant digits. b=71.0mi,c=77.0mib = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }b=71.0mi,c=77.0mi

Find the value of the trigonometric ratio rounded to four significant digits. sin 38.72° = __________

A small plane takes off from an airport and begins to climb at a 15.0 o angle of elevation at 500‾50 \overline { 0 }500 ft/min. After 25.0 min, how far along the ground will the plane have flown? Round your answer to the appropriate number of significant digits.

Find the angle rounded to the nearest tenth of a degree. cos C = 0.8510

Find the angle rounded to the nearest hundredth of a degree. cos B = 0.7852 B = __________ o

Find the angle rounded to the nearest tenth of a degree. tan C = 0.1553 C = __________ o

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

A railroad track has an angle of elevation of 7.0 ^o. What is the difference in height (in feet) of two points on the track 1.00 mi apart? Round your answer to the appropriate number of significant digits.

Solve the right triangle. Round your answer to the appropriate number of significant digits. $\angle B = 31.48 ^ { \circ } , a = 72.94 \mathrm {~m}$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. \angle B = 31.48 ^ { \circ } , a = 72.94 \mathrm {~m}$

Solve the right triangle. Round your answer to the appropriate number of significant digits. $b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$ $Solve the right triangle. Round your answer to the appropriate number of significant digits. b = 71.0 \mathrm { mi } , c = 77.0 \mathrm { mi }$

A small plane takes off from an airport and begins to climb at a 15.0 ^o angle of elevation at $50 \overline { 0 }$ ft/min. After 25.0 min, how far along the ground will the plane have flown? Round your answer to the appropriate number of significant digits.

Find the angle rounded to the nearest hundredth of a degree. cos B = 0.7852 B = __________ ^o

Find the angle rounded to the nearest tenth of a degree. tan C = 0.1553 C = __________ ^o