Question 1

Refer to right triangle ABC with   .   ​ If    and    cm, find b . Round the answer to the nearest hundredth. ​

Accepted Answer

A) 2.12 cm 
B) 2.27 cm 
C) 2.18 cm 
D) 2.21 cm 
E) 2.33 cm 
A) 2.12 cm 
B) 2.27 cm 
C) 2.18 cm 
D) 2.21 cm 
E) 2.33 cm D

Question 2

Solve the following problem. Be sure to make a diagram of the situation with all the given information labeled. A person standing on top of a 16-foot high sand pile wishes to estimate the width of the pile. He visually locates two rocks on the ground below at the base of the sand pile. The rocks are on opposite sides of the sand pile, and he and the two rocks are in line with one another. If the angles of depression from the top of the sand pile to each of the rocks are 18° and 26°, how far apart are the rocks? Apply the rules regarding the use of significant digits when determining your answer. Distance between rocks = __________ ft

Accepted Answer

82

Question 3

Use a calculator to find a value of θ  between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos  θ = 0.3145 θ =  _____°_____'

Accepted Answer

71; 40

Question 4

Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement.   _____ ​

Accepted Answer

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

Question 5

The circle in the figure has a radius of r and center at C . The distance from A to B is x .   ​ If    and   , find x . ​ 
Apply the rules regarding the use of significant digits when determining your answer.   __________

Accepted Answer

The answer of The circle in the figure has a...

Question 6

A person standing 140 centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is 14°, while the angle of elevation to the top of the mirror is 13°. Find the vertical dimension of the mirror (see the figure). Round to the nearest centimeters. Apply the rules regarding the use of significant digits when determining your answer.   ​   Vertical dimension of mirror = __________ cm

Accepted Answer

The answer of A person standing 140 centimeters from a...

Question 7

Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round the answers to the nearest tenth if necessary. ​

Accepted Answer

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

Question 8

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 41.2°

Accepted Answer

The answer of Use a calculator to find the following....

Question 9

A ship travels 155 kilometers on a bearing of   . How far east and how far south has it traveled? ​

Accepted Answer

A) ship travels 107.7 km to the south and 103.7 km to the east 
B) ship travels 107.7 km to the south and 99.1 km to the east 
C) ship travels 92.9 km to the south and 87.4 km to the east 
D) ship travels 115.2 km to the south and 87.4 km to the east 
E) ship travels 115.2 km to the south and 103.7 km to the east 
A) ship travels 107.7 km to the south and 103.7 km to the east 
B) ship travels 107.7 km to the south and 99.1 km to the east 
C) ship travels 92.9 km to the south and 87.4 km to the east 
D) ship travels 115.2 km to the south and 87.4 km to the east 
E) ship travels 115.2 km to the south and 103.7 km to the east

Question 10

In the figure below, a person standing at point A notices that the angle of elevation to the top of the antenna is 46º30'. A second person standing 35.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 43º18'. How far is the person at A from the base of the antenna? Apply the rules regarding the use of significant digits when determining your answers.   Distance = __________ ft

Accepted Answer

The answer of In the figure below, a person standing...

Question 11

There is a right triangle ABC with   ,   , and    Use a calculator to find cos A . Round your answer to the nearest hundredth. ​

Accepted Answer

A) 0.87 
B) 0.86 
C) 0.48 
D) 0.49 
E) 0.85 
A) 0.87 
B) 0.86 
C) 0.48 
D) 0.49 
E) 0.85

Question 12

Draw a vector representing the velocity. 30 mph due south ​

Accepted Answer

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

Question 13

Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   ,     ft 
​ 
Apply the rules regarding the use of significant digits when determining your answer.   __________   ​   __________ ft ​   __________ ft

Accepted Answer

The answer of Refer to right triangle ABC with ...

Question 14

A plane travels 125 miles on a bearing of    and then changes its course to    and travels another 120 miles. Find the total distance traveled north and the total distance traveled east. 
Apply the rules regarding the use of significant digits when determining your answers. 
Find the total distance traveled north.__________ mi 
​Find the total distance traveled east. 
__________ mi

Accepted Answer

The answer of A plane travels 125 miles on a...

Question 15

Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.

Accepted Answer

A)    
B)    
C) 1 
D) 0 
E)    
A)    
B)    
C) 1 
D) 0 
E)

Question 16

Two people decide to estimate the height of a flag pole. One person positions himself due north of the pole and the other person stands due east of the pole. If the two people are the same distance from the pole and 23 feet from each other, find the height of the pole if the angle of elevation from the ground at each person's position to the top of the pole is 58° (see the figure). Apply the rules regarding the use of significant digits when determining your answer.     Height of pole = __________ ft

Accepted Answer

The answer of Two people decide to estimate the height...

Question 17

Right triangle ABC  has   ,   , and   . Use this information to find cos A ​

Accepted Answer

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

Question 18

Refer to right triangle ABC with   .   ​ If    inches and    inches, find B .​ Round the answer to the nearest tenth. ​

Accepted Answer

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

Question 19

In the figure, the distance from A to D is y , the distance from D to C is x , and the distance from C to B is h .   ​ If   ,   , and   , find h , then x . 
Apply the rules regarding the use of significant digits when determining your answer.   __________ ​   __________

Accepted Answer

The answer of In the figure, the distance from A...

Question 20

In the figure below, a person standing at point A notices that the angle of elevation to the top of the antenna is    . A second person standing 37.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be    . How far is the person at A from the base of the antenna? Round your answer to the nearest feet.       ​

Accepted Answer

A) 197 ft 
B) 194 ft 
C) 192 ft 
D) 191 ft 
E) 195 ft 
A) 197 ft 
B) 194 ft 
C) 192 ft 
D) 191 ft 
E) 195 ft

Refer to right triangle ABC with . If and cm, find b . Round the answer to the nearest hundredth.

Use a calculator to find a value of θ between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos θ = 0.3145 θ = _°_'

Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. _____

The circle in the figure has a radius of r and center at C . The distance from A to B is x . If and , find x . Apply the rules regarding the use of significant digits when determining your answer. __________

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round the answers to the nearest tenth if necessary.

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 41.2°

A ship travels 155 kilometers on a bearing of . How far east and how far south has it traveled?

There is a right triangle ABC with , , and Use a calculator to find cos A . Round your answer to the nearest hundredth.

Draw a vector representing the velocity. 30 mph due south

Refer to right triangle ABC with . Solve for all the missing parts using the given information. , ft Apply the rules regarding the use of significant digits when determining your answer. ft __ ft

Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.

Right triangle ABC has , , and . Use this information to find cos A

Refer to right triangle ABC with . If inches and inches, find B . Round the answer to the nearest tenth.

In the figure, the distance from A to D is y , the distance from D to C is x , and the distance from C to B is h . If , , and , find h , then x . Apply the rules regarding the use of significant digits when determining your answer.

The Six Trigonometric Functions

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Exam 2: Right Triangle Trigonometry

Refer to right triangle ABC with . ​ If and cm, find b . Round the answer to the nearest hundredth. ​

Use a calculator to find a value of θ between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos θ = 0.3145 θ = _____°_____'

Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. _____ ​

The circle in the figure has a radius of r and center at C . The distance from A to B is x . ​ If and , find x . ​ Apply the rules regarding the use of significant digits when determining your answer. __________

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round the answers to the nearest tenth if necessary. ​

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 41.2°

A ship travels 155 kilometers on a bearing of . How far east and how far south has it traveled? ​

There is a right triangle ABC with , , and Use a calculator to find cos A . Round your answer to the nearest hundredth. ​

Draw a vector representing the velocity. 30 mph due south ​

Refer to right triangle ABC with . Solve for all the missing parts using the given information. , ft ​ Apply the rules regarding the use of significant digits when determining your answer. __________ ​ __________ ft ​ __________ ft

Simplify the following expression by first substituting values from the table of exact values and then simplifying the resulting expression.

Right triangle ABC has , , and . Use this information to find cos A ​

Refer to right triangle ABC with . ​ If inches and inches, find B .​ Round the answer to the nearest tenth. ​

In the figure, the distance from A to D is y , the distance from D to C is x , and the distance from C to B is h . ​ If , , and , find h , then x . Apply the rules regarding the use of significant digits when determining your answer. __________ ​ __________

The Six Trigonometric Functions

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Refer to right triangle ABC with . If and cm, find b . Round the answer to the nearest hundredth.

Use a calculator to find a value of θ between 0° and 90° that satisfies the statement below. Write your answer in degrees and minutes rounded to the nearest minute. cos θ = 0.3145 θ = _°_'

Use the Cofunction Theorem to fill in the blank so that the expression becomes a true statement. _____

The circle in the figure has a radius of r and center at C . The distance from A to B is x . If and , find x . Apply the rules regarding the use of significant digits when determining your answer. __________

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round the answers to the nearest tenth if necessary.

A ship travels 155 kilometers on a bearing of . How far east and how far south has it traveled?

There is a right triangle ABC with , , and Use a calculator to find cos A . Round your answer to the nearest hundredth.

Draw a vector representing the velocity. 30 mph due south

Refer to right triangle ABC with . Solve for all the missing parts using the given information. , ft Apply the rules regarding the use of significant digits when determining your answer. ft __ ft

Right triangle ABC has , , and . Use this information to find cos A

Refer to right triangle ABC with . If inches and inches, find B . Round the answer to the nearest tenth.

In the figure, the distance from A to D is y , the distance from D to C is x , and the distance from C to B is h . If , , and , find h , then x . Apply the rules regarding the use of significant digits when determining your answer.