Question 1

​Vector  V  with magnitude     forms an angle with the positive  x -axis. Give the magnitude of the horizontal and vertical vector components of  V , namely     and    , respectively.     ​

Accepted Answer

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

Question 2

To further justify the Cofunction Theorem, use your calculator to find a value for each pair of trigonometric functions below. In each case, the trigonometric functions are cofunctions of one another, and the angles are complementary angles. Round your answers to four places past the decimal point. sin 28° = _____ , cos 62° = _____

Accepted Answer

The answer of To further justify the Cofunction Theorem, use...

Question 3

There is a right triangle ABC with   ,   , and   . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​

Accepted Answer

A) 0.94 
B) 0.28 
C) 0.97 
D) 0.96 
E) 0.29 
A) 0.94 
B) 0.28 
C) 0.97 
D) 0.96 
E) 0.29

Question 4

Add. (34°41')+  (23 °22 ' ) ​

Accepted Answer

A) 23°03' 
B) 59°23' 
C) 59°03' 
D) 58°23' 
E) 58°03' 
A) 23°03' 
B) 59°23' 
C) 59°03' 
D) 58°23' 
E) 58°03'

Question 5

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

Accepted Answer

The answer of Simplify the following expression by first substituting...

Question 6

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. How long should an escalator be if it is to make an angle of 29° with the floor and carry people a vertical distance of 22 feet between floors? ​

Accepted Answer

A) 48 ft 
B) 40 ft 
C) 55 ft 
D) 45 ft 
E) 43 ft 
A) 48 ft 
B) 40 ft 
C) 55 ft 
D) 45 ft 
E) 43 ft

Question 7

In the diagram below, angle A is in standard position. Find sin A . ​  
​

Accepted Answer

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

Question 8

The problem refers to a vector  V  with magnitude     that  forms an angle with the positive  x -axis. Give the magnitude of the horizontal and vertical vector components of  V , namely     and    , respectively.   ​

Accepted Answer

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

Question 9

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A person standing on top of a 15-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 17° and 26°, how far apart are the rocks? ​

Accepted Answer

A) 80 ft 
B) 82 ft 
C) 87 ft 
D) 90 ft 
E) 75 ft 
A) 80 ft 
B) 82 ft 
C) 87 ft 
D) 90 ft 
E) 75 ft

Question 10

Vector  V  with magnitude     forms an angle with the positive  x -axis. Give the magnitude of the horizontal and vertical vector components of  V , namely     and    , respectively. Apply the rules regarding the use of significant digits when determining your answer.   ​   __________ ​   __________

Accepted Answer

The answer of Vector  V  with magnitude     forms...

Question 11

Convert the following to degrees and minutes. Round to the nearest minute. 91.15° ​

Accepted Answer

A) 91°15' 
B) 91°14' 
C) 91°10' 
D) 91°9' 
E) 91°6' 
A) 91°15' 
B) 91°14' 
C) 91°10' 
D) 91°9' 
E) 91°6'

Question 12

Solve the following problem. Be sure to make a diagram of the situation with all the given information labeled. If a 76.0-foot flagpole casts a shadow 57.0 feet long, what is the angle of elevation of the sun? Apply the rules regarding the use of significant digits when determining your answer. Round to one decimal place. ​ 
__________º

Accepted Answer

The answer of Solve the following problem. Be sure to...

Question 13

Find tan B in the right triangle below   .   ​

Accepted Answer

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

Question 14

Solve the following problem. Be sure to make a diagram of the situation with all the given information labeled. A man wandering in the desert walks 2.7 miles in the direction S 27° W. He then turns 90° and walks 3.7 miles in the direction N 63° W. At that time, how far is he from his starting point? Apply the rules regarding the use of significant digits when determining your answers. Round the distance to the nearest tenth of miles and angle to the nearest degree. Distance from starting point = __________ mi 
​What is the man's bearing from his starting point? __________ __________° __________

Accepted Answer

The answer of Solve the following problem. Be sure to...

Question 15

Use the information given in the diagram to find A to the nearest degree. Suppose that    and   . 
​   ​   __________

Accepted Answer

The answer of Use the information given in the diagram...

Question 16

Convert the following to degrees and minutes. Round to the nearest minute. 93.65° _____°_____'

Accepted Answer

The answer of Convert the following to degrees and minutes....

Question 17

Find the exact value for csc 60°.

Accepted Answer

The answer of Find the exact value for csc 60°....

Question 18

Use a calculator to find the following. Round the answer to four places past the decimal point. cot 36°

Accepted Answer

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

Question 19

Refer to right triangle ABC with   .   If    and    cm, find b . Apply the rules regarding the use of significant digits when determining your answer.   __________ cm

Accepted Answer

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

Question 20

Danny is 5 years old and weighs 39.0 pounds. He is sitting on a swing when his sister Stacey pulls him and the swing back horizontally through an angle    and then stops.   The figure below is a diagram of the situation.   This diagram would change if Stacey were to push Danny forward through the angle    and then hold him in that position. Draw the diagram that corresponds to this new situation. ​

Accepted Answer

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

Vector V with magnitude forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively.

There is a right triangle ABC with , , and . Use a calculator to find sin B . Round your answers to the nearest hundredth.

Add. (34°41')+ (23 °22 ' )

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

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. How long should an escalator be if it is to make an angle of 29° with the floor and carry people a vertical distance of 22 feet between floors?

In the diagram below, angle A is in standard position. Find sin A .

The problem refers to a vector V with magnitude that forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively.

Vector V with magnitude forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively. Apply the rules regarding the use of significant digits when determining your answer.

Convert the following to degrees and minutes. Round to the nearest minute. 91.15°

Find tan B in the right triangle below .

Use the information given in the diagram to find A to the nearest degree. Suppose that and . __________

Convert the following to degrees and minutes. Round to the nearest minute. 93.65° _°_'

Find the exact value for csc 60°.

Use a calculator to find the following. Round the answer to four places past the decimal point. cot 36°

Refer to right triangle ABC with . If and cm, find b . Apply the rules regarding the use of significant digits when determining your answer. __________ cm

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

​Vector V with magnitude forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively. ​

There is a right triangle ABC with , , and . Use a calculator to find sin B . Round your answers to the nearest hundredth. ​

Add. (34°41')+ (23 °22 ' ) ​

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

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. How long should an escalator be if it is to make an angle of 29° with the floor and carry people a vertical distance of 22 feet between floors? ​

In the diagram below, angle A is in standard position. Find sin A . ​ ​

The problem refers to a vector V with magnitude that forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively. ​

Vector V with magnitude forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively. Apply the rules regarding the use of significant digits when determining your answer. ​ __________ ​ __________

Convert the following to degrees and minutes. Round to the nearest minute. 91.15° ​

Find tan B in the right triangle below . ​

Use the information given in the diagram to find A to the nearest degree. Suppose that and . ​ ​ __________

Convert the following to degrees and minutes. Round to the nearest minute. 93.65° _____°_____'

Find the exact value for csc 60°.

Use a calculator to find the following. Round the answer to four places past the decimal point. cot 36°

Refer to right triangle ABC with . If and cm, find b . Apply the rules regarding the use of significant digits when determining your answer. __________ cm

The Six Trigonometric Functions

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Vector V with magnitude forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively.

There is a right triangle ABC with , , and . Use a calculator to find sin B . Round your answers to the nearest hundredth.

Add. (34°41')+ (23 °22 ' )

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. How long should an escalator be if it is to make an angle of 29° with the floor and carry people a vertical distance of 22 feet between floors?

In the diagram below, angle A is in standard position. Find sin A .

The problem refers to a vector V with magnitude that forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively.

Vector V with magnitude forms an angle with the positive x -axis. Give the magnitude of the horizontal and vertical vector components of V , namely and , respectively. Apply the rules regarding the use of significant digits when determining your answer.

Convert the following to degrees and minutes. Round to the nearest minute. 91.15°

Find tan B in the right triangle below .

Use the information given in the diagram to find A to the nearest degree. Suppose that and . __________

Convert the following to degrees and minutes. Round to the nearest minute. 93.65° _°_'