Question 1

Find the exact value of sec 45°. ​

Accepted Answer

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

Question 2

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

Accepted Answer

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

Question 3

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. The diagonal of a rectangle is 354 millimeters, while the longer side is 274 millimeters. Find the shorter side of the rectangle and the angles the diagonal makes with the sides. Round the side length to the nearest millimeter. Round the angles to the nearest degree. ​

Accepted Answer

A) The side is 224 mm; the angles are 59° and 31°. 
B) The side is 213 mm; the angles are 59 ° and 31 ° . 
C) The side is 213 mm; the angles are 51 ° and 39 ° . 
D) The side is 224 mm; the angles are 51 ° and 39 ° . 
E) The side is 224 mm; the angles are 56 °  and 34 ° . 
A) The side is 224 mm; the angles are 59° and 31°. 
B) The side is 213 mm; the angles are 59 ° and 31 ° . 
C) The side is 213 mm; the angles are 51 ° and 39 ° . 
D) The side is 224 mm; the angles are 51 ° and 39 ° . 
E) The side is 224 mm; the angles are 56 °  and 34 ° .

Question 4

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 81.4°

Accepted Answer

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

Question 5

For expression   , replace z with 90°, and then simplify as much as possible. ​

Accepted Answer

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

Question 6

Change the following to decimal degrees. 71°18' ​

Accepted Answer

A) 70.8° 
B) 73.1° 
C) 72° 
D) 71.3° 
E) 72.3° 
A) 70.8° 
B) 73.1° 
C) 72° 
D) 71.3° 
E) 72.3°

Question 7

From a point on the floor the angle of elevation to the top of a door is 48º, while the angle of elevation to the ceiling above the door is 62º. If the ceiling is 12 feet above the floor, what is the vertical dimension of the door (see the figure)? Apply the rules regarding the use of significant digits when determining your answer.   Vertical dimension of door = __________ ft

Accepted Answer

The answer of From a point on the floor the...

Question 8

Draw a vector representing the following velocity. 70 cm/sec   ​

Accepted Answer

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

Question 9

The figure shows two right triangles drawn at    to each other.   ​ If   ,   , and   , find x and then find h . Round each answer to the nearest whole number. ​

Accepted Answer

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

Question 10

The figure shows a simplified model of the first Ferris wheel. The radius of the first Ferris wheel was 125 feet, and the distance from the ground to the bottom of the wheel was 14 feet. If    is the central angle formed as a rider moves from position    to position   , find the rider's height above the ground h when    is   .     Apply the rules regarding the use of significant digits when determining your answer.   __________  ft

Accepted Answer

The answer of The figure shows a simplified model of...

Question 11

For the expression that follows, replace x with 30°, and then simplify as much as possible.

Accepted Answer

The answer of For the expression that follows, replace x...

Question 12

Two planes take off at the same time from an airport. The first plane is flying at 250 miles per hour on a bearing of   . The second plane is flying in the direction    at 275 miles per hour. If there are no wind currents blowing, how far apart are they after 2 hours? Apply the rules regarding the use of significant digits when determining your answers. 
__________ mi What is the bearing of the second plane from the first after 2 hours? 
​ __________   __________    __________

Accepted Answer

The answer of Two planes take off at the same...

Question 13

Suppose each edge of the cube shown in the figure is 7 inches long.   Find the measure of the angle formed by diagonals CF and 0 CH . Round your answer to the nearest tenth of a degree. ​

Accepted Answer

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

Question 14

For the problem, the magnitude of the horizontal and vertical vector components    and    of vector V are given. Find the magnitude of V .   ​

Accepted Answer

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

Question 15

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 16

Suppose the figure below is an exaggerated diagram of a plane flying above the earth. If the plane is 4.25 miles above the earth and the radius of the earth is 4,000 miles, how far is it from the plane to the horizon? Round your answer to the nearest mile.   ​   ​ ​

Accepted Answer

A) 199 mi 
B) 174 mi 
C) 183 mi 
D) 184 mi 
E) 187 mi 
A) 199 mi 
B) 174 mi 
C) 183 mi 
D) 184 mi 
E) 187 mi

Question 17

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A boat travels on a course of bearing    for 77.6 miles. How many miles north and how many miles west has the boat traveled? Round your answers to the nearest tenth of a mile. ​

Accepted Answer

A) 62.3 mi N, 44.9 mi W 
B) 61.8 mi N, 46.2 mi W 
C) 63.3 mi N, 42.6 mi W 
D) 62.3 mi N, 42.6 mi W 
E) 63.3 mi N, 44.9 mi W 
A) 62.3 mi N, 44.9 mi W 
B) 61.8 mi N, 46.2 mi W 
C) 63.3 mi N, 42.6 mi W 
D) 62.3 mi N, 42.6 mi W 
E) 63.3 mi N, 44.9 mi W

Question 18

Solve the following problems. Be sure to make a diagram of the situation with all the given information labeled. The diagonal of a rectangle is 352 millimeters, while the longer side is 284 millimeters. Find the shorter side of the rectangle. Apply the rules regarding the use of significant digits when determining your answer. __________ mm Find the smaller of the two angles the diagonal makes with the sides. Apply the rules regarding the use of significant digits when determining your answer. __________ ° ​ Find the larger of the two angles the diagonal makes with the sides. Apply the rules regarding the use of significant digits when determining your answer. __________ °

Accepted Answer

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

Question 19

A package is pushed across a floor for a distance of 30 feet by exerting a force of 15 pounds downward at an angle of    with the horizontal. How much work is done? Apply the rules regarding the use of significant digits when determining your answer. 
__________

Accepted Answer

The answer of A package is pushed across a floor...

Question 20

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 = 0.5673 ​

Accepted Answer

A) θ  = 55°026' 
B) θ  = 54°028' 
C) θ  = 54°026' 
D) θ  = 55°028' 
E) θ  = 53°026' 
A) θ  = 55°026' 
B) θ  = 54°028' 
C) θ  = 54°026' 
D) θ  = 55°028' 
E) θ  = 53°026'

Find the exact value of sec 45°.

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

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 81.4°

For expression , replace z with 90°, and then simplify as much as possible.

Change the following to decimal degrees. 71°18'

Draw a vector representing the following velocity. 70 cm/sec

The figure shows two right triangles drawn at to each other. If , , and , find x and then find h . Round each answer to the nearest whole number.

For the expression that follows, replace x with 30°, and then simplify as much as possible.

Suppose each edge of the cube shown in the figure is 7 inches long. Find the measure of the angle formed by diagonals CF and 0 CH . Round your answer to the nearest tenth of a degree.

For the problem, the magnitude of the horizontal and vertical vector components and of vector V are given. Find the magnitude of V .

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.

Suppose the figure below is an exaggerated diagram of a plane flying above the earth. If the plane is 4.25 miles above the earth and the radius of the earth is 4,000 miles, how far is it from the plane to the horizon? Round your answer to the nearest mile.

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A boat travels on a course of bearing for 77.6 miles. How many miles north and how many miles west has the boat traveled? Round your answers to the nearest tenth of a mile.

A package is pushed across a floor for a distance of 30 feet by exerting a force of 15 pounds downward at an angle of with the horizontal. How much work is done? Apply the rules regarding the use of significant digits when determining your answer. __________

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 = 0.5673

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 sec 45°. ​

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

Use a calculator to find the following. Round the answer to four places past the decimal point. cos 81.4°

For expression , replace z with 90°, and then simplify as much as possible. ​

Change the following to decimal degrees. 71°18' ​

Draw a vector representing the following velocity. 70 cm/sec ​

The figure shows two right triangles drawn at to each other. ​ If , , and , find x and then find h . Round each answer to the nearest whole number. ​

For the expression that follows, replace x with 30°, and then simplify as much as possible.

Suppose each edge of the cube shown in the figure is 7 inches long. Find the measure of the angle formed by diagonals CF and 0 CH . Round your answer to the nearest tenth of a degree. ​

For the problem, the magnitude of the horizontal and vertical vector components and of vector V are given. Find the magnitude of V . ​

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. ​ __________ ​ __________

Suppose the figure below is an exaggerated diagram of a plane flying above the earth. If the plane is 4.25 miles above the earth and the radius of the earth is 4,000 miles, how far is it from the plane to the horizon? Round your answer to the nearest mile. ​ ​ ​

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A boat travels on a course of bearing for 77.6 miles. How many miles north and how many miles west has the boat traveled? Round your answers to the nearest tenth of a mile. ​

A package is pushed across a floor for a distance of 30 feet by exerting a force of 15 pounds downward at an angle of with the horizontal. How much work is done? Apply the rules regarding the use of significant digits when determining your answer. __________

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 = 0.5673 ​

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 sec 45°.

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

For expression , replace z with 90°, and then simplify as much as possible.

Change the following to decimal degrees. 71°18'

Draw a vector representing the following velocity. 70 cm/sec

The figure shows two right triangles drawn at to each other. If , , and , find x and then find h . Round each answer to the nearest whole number.

Suppose each edge of the cube shown in the figure is 7 inches long. Find the measure of the angle formed by diagonals CF and 0 CH . Round your answer to the nearest tenth of a degree.

For the problem, the magnitude of the horizontal and vertical vector components and of vector V are given. Find the magnitude of V .

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.

Suppose the figure below is an exaggerated diagram of a plane flying above the earth. If the plane is 4.25 miles above the earth and the radius of the earth is 4,000 miles, how far is it from the plane to the horizon? Round your answer to the nearest mile.

Solve the problem. Be sure to make a diagram of the situation with all the given information labeled. A boat travels on a course of bearing for 77.6 miles. How many miles north and how many miles west has the boat traveled? Round your answers to the nearest tenth of a mile.

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 = 0.5673