Question 1

Find the exact value of   . ​

Accepted Answer

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

Question 2

For the problem below, the magnitude of the horizontal and vertical vector components    and     of vector  V  are given. Find the magnitude of  V . Apply the rules regarding the use of significant digits when determining your answers.   ​   __________

Accepted Answer

The answer of For the problem below, the magnitude of...

Question 3

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A 72.9-foot rope from the top of a circus tent pole is anchored to the ground 43.4 feet from the bottom of the pole. What angle does the rope make with the pole? (Assume the pole is perpendicular to the ground.)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 problem. Be sure to make...

Question 4

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 47.9° ​

Accepted Answer

A) 1.5806 
B) 1.4246 
C) 1.4916 
D) 1.6366 
E) 1.3686 
A) 1.5806 
B) 1.4246 
C) 1.4916 
D) 1.6366 
E) 1.3686

Question 5

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

Accepted Answer

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

Question 6

Find θ  if θ  is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin  θ = 0.6792 θ =  __________°

Accepted Answer

The answer of Find θ  if θ  is between 0° and...

Question 7

A bullet is fired into the air with an initial velocity of 2,000 feet per second at an angle of    from the horizontal. Find the horizontal and vertical vector components of the velocity. Apply the rules regarding the use of significant digits when determining your answers.   __________ ft/sec ​   __________ ft/sec

Accepted Answer

The answer of A bullet is fired into the air...

Question 8

Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°40' ​

Accepted Answer

A) 0.5561 
B) 0.6191 
C) 0.4331 
D) 0.4481 
E) 0.5781 
A) 0.5561 
B) 0.6191 
C) 0.4331 
D) 0.4481 
E) 0.5781

Question 9

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

Question 10

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 83.9° ​

Accepted Answer

A) 0.0893 
B) 0.1063 
C) 0.1193 
D) -0.1173 
E) 0.1293 
A) 0.0893 
B) 0.1063 
C) 0.1193 
D) -0.1173 
E) 0.1293

Question 11

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 12

Convert the following to degrees and minutes. Round to the nearest minute. 32.8° _____°_____'

Accepted Answer

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

Question 13

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 14

A satellite is circling 145 miles above the earth, as shown in the figure. When the satellite is directly above point B , angle A is found to be 74.8º. Use this information to find the radius of the earth. Apply the rules regarding the use of significant digits when determining your answers.   Earth's radius = __________ mi

Accepted Answer

The answer of A satellite is circling 145 miles above...

Question 15

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. csc  θ = 4.1973 ​

Accepted Answer

A) θ  = 10°047' 
B) θ  = 14°047' 
C) θ  = 13°047' 
D) θ  = 14°049' 
E) θ  = 13°049' 
A) θ  = 10°047' 
B) θ  = 14°047' 
C) θ  = 13°047' 
D) θ  = 14°049' 
E) θ  = 13°049'

Question 16

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

Accepted Answer

0.57; 0.82

Question 17

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 18

Refer to right triangle ABC with   . Solve for all the missing parts using the given information.   Round each answer to the nearest whole number if necessary. ​

Accepted Answer

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

Question 19

A bullet is fired into the air with an initial velocity of 1,400 feet per second at an angle of    from the horizontal. Find the horizontal and vertical vector components of the velocity. ​

Accepted Answer

A) ​    ft/sec,     ft/sec 
B) ​    ft/sec,     ft/sec 
C)     ft/sec,     ft/sec 
D) ​    ft/sec,     ft/sec 
E) ​    ft/sec,     ft/sec 
A) ​    ft/sec,     ft/sec 
B) ​    ft/sec,     ft/sec 
C)     ft/sec,     ft/sec 
D) ​    ft/sec,     ft/sec 
E) ​    ft/sec,     ft/sec

Question 20

A helicopter makes a forced landing at sea. The last radio signal received at station C gives the bearing of the helicopter from C as  at an N 56.9 ° E altitude of 427 feet. An observer at C sights the helicopter and gives    as 12.8°. How far will a rescue boat at A have to travel to reach any survivors at B (see the figure)? Round your answer to the nearest ten feet.     ​ ​

Accepted Answer

A) 1,620 ft 
B) 1,570 ft 
C) 1,590 ft 
D) 1,580 ft 
E) 1,540 ft 
A) 1,620 ft 
B) 1,570 ft 
C) 1,590 ft 
D) 1,580 ft 
E) 1,540 ft

Find the exact value of .

For the problem below, the magnitude of the horizontal and vertical vector components and of vector V are given. Find the magnitude of V . Apply the rules regarding the use of significant digits when determining your answers. __________

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 47.9°

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

Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin θ = 0.6792 θ = __________°

A bullet is fired into the air with an initial velocity of 2,000 feet per second at an angle of from the horizontal. Find the horizontal and vertical vector components of the velocity. Apply the rules regarding the use of significant digits when determining your answers. ft/sec ft/sec

Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°40'

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

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 83.9°

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

Convert the following to degrees and minutes. Round to the nearest minute. 32.8° _°_'

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

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. csc θ = 4.1973

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

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

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round each answer to the nearest whole number if necessary.

A bullet is fired into the air with an initial velocity of 1,400 feet per second at an angle of from the horizontal. Find the horizontal and vertical vector components of the velocity.

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

Find the exact value of . ​

For the problem below, the magnitude of the horizontal and vertical vector components and of vector V are given. Find the magnitude of V . Apply the rules regarding the use of significant digits when determining your answers. ​ __________

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 47.9° ​

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

Find θ if θ is between 0° and 90°. Round your answer to the nearest tenth of a degree. sin θ = 0.6792 θ = __________°

Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°40' ​

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

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 83.9° ​

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

Convert the following to degrees and minutes. Round to the nearest minute. 32.8° _____°_____'

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

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. csc θ = 4.1973 ​

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

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

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round each answer to the nearest whole number if necessary. ​

A bullet is fired into the air with an initial velocity of 1,400 feet per second at an angle of from the horizontal. Find the horizontal and vertical vector components of the velocity. ​

The Six Trigonometric Functions

Radian Measure

Graphing and Inverse Functions

Identities and Formulas

Equations

Triangles

Complex Numbers and Polar Coordinates

Filters

Find the exact value of .

For the problem below, the magnitude of the horizontal and vertical vector components and of vector V are given. Find the magnitude of V . Apply the rules regarding the use of significant digits when determining your answers. __________

Use a calculator to find the following. Round your answer to four places past the decimal point. sec 47.9°

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

Use a calculator to find the following. Round your answer to four places past the decimal point. sin 25°40'

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

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 83.9°

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

Convert the following to degrees and minutes. Round to the nearest minute. 32.8° _°_'

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. csc θ = 4.1973

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

Refer to right triangle ABC with . Solve for all the missing parts using the given information. Round each answer to the nearest whole number if necessary.

A bullet is fired into the air with an initial velocity of 1,400 feet per second at an angle of from the horizontal. Find the horizontal and vertical vector components of the velocity.