Question 1

Use a calculator to approximate the tan 41.0° to three decimal places.

Accepted Answer

A)  0.755 
B)  1.150 
C)  0.656 
D)  0.869 
A)  0.755 
B)  1.150 
C)  0.656 
D)  0.869

Question 2

Stratosphere Tower. The Stratosphere Tower in Las Vegas dominates the city's landscape by rising 1,149 feet above the desert floor. The restaurant at the top of the tower turns slowly and completes a full revolution in one hour. How many radians will the restaurant have rotated in 18 minutes?

Accepted Answer

The answer of Stratosphere Tower. The Stratosphere Tower in Las...

Question 3

Find the angular speed, 
   
, associated with rotating a central angle θ = 12
   
in time t = 17 seconds. Express your answer in radians/second.

Accepted Answer

The answer of Find the angular speed, 
  ...

Question 4

A hot air balloon is sighted at the same time by two friends who are 2.2 miles apart on the same side of the balloon. The angles of elevation from the two friends are 11.5° and 18°. How high is the balloon? Round to one decimal place.

Accepted Answer

The answer of A hot air balloon is sighted at...

Question 5

Find the distance, s, a point travels along a circle over time t = 15 minutes, given the angular speed
 
= 9 rotations per second and the radius r = 7 inches. Express your answer in miles (1 mile = 5,280 ft), and round your answer to one decimal place.

Accepted Answer

A)  1.1 miles 
B)  67.5 miles 
C)  10.7 miles 
D)  5.6 miles 
A)  1.1 miles 
B)  67.5 miles 
C)  10.7 miles 
D)  5.6 miles

Question 6

Solve the given triangle and round to one decimal place.
 
B = 199.0 cm., c = 45.0 cm., $\beta$ = 40.0°

Accepted Answer

A)  $\gamma$ = 8.4°,$\alpha$ = 131.6°, a = 231.4 cm. 
B)  $\gamma$ = 131.6°, $\alpha$= 8.4°, a = 231.4 cm. 
C)  $\gamma$= 8.4°, $\alpha$ = 131.6°, a = 171.2 cm. 
D)  no solution 
A)  $\gamma$ = 8.4°,$\alpha$ = 131.6°, a = 231.4 cm. 
B)  $\gamma$ = 131.6°, $\alpha$= 8.4°, a = 231.4 cm. 
C)  $\gamma$= 8.4°, $\alpha$ = 131.6°, a = 171.2 cm. 
D)  no solution

Question 7

Use a calculator to approximate the sec 51.2° to three decimal places.

Accepted Answer

A)  0.627 
B)  1.596 
C)  0.779 
D)  1.283 
A)  0.627 
B)  1.596 
C)  0.779 
D)  1.283

Question 8

Bicycle. A bicyclist is traveling at an angular speed of 
   
radians per second. How fast is she traveling in miles per hour if her tires are 27 inches in diameter? Round your answer to one decimal place.

Accepted Answer

The answer of Bicycle. A bicyclist is traveling at an...

Question 9

Fruit. When a grapefruit is cut in half, wedges or sectors are visible. If the central angle of a sector is 260°, how many radians does this represent?

Accepted Answer

The answer of Fruit. When a grapefruit is cut in...

Question 10

Solve right triangle ABC if A = 25° and c = 19.3 yd. Round lengths to one decimal place.

Accepted Answer

a = 8.2 yd

Question 11

Use the reciprocal identity 
   
to calculate cot 45°.

Accepted Answer

The answer of Use the reciprocal identity 
  ...

Question 12

Evaluate cos(-855°) exactly.

Accepted Answer

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

Question 13

State in which quadrant or on what axis the terminal side of a 1080° angle in standard position lies.

Accepted Answer

A)  QI 
B)  QIII 
C)  y-axis 
D)  x-axis 
A)  QI 
B)  QIII 
C)  y-axis 
D)  x-axis

Question 14

Find the area of the triangle described. Round to the nearest integer.
 
A = 274, b = 257, $\beta$ = 29°

Accepted Answer

A)  17,070 
B)  34,139 
C)  23,366 
D)  no solution 
A)  17,070 
B)  34,139 
C)  23,366 
D)  no solution

Question 15

Midair Refueling Below is an enactment of the mid-air military aircraft refueling scenario. Assume the elevation angle that the hose makes with the plane being fueled is θ = 41°. If the hose is 180 feet long, what should be the altitude difference a between the two planes? Round to the nearest foot.

Accepted Answer

The answer of Midair Refueling Below is an enactment of...

Question 16

If cos θ = 
   
, and the terminal side of θ lies in quadrant IV, find csc θ.

Accepted Answer

The answer of If cos θ = 
  ...

Question 17

Use the trigonometric ratio identity
 
To calculate tan 30°.

Accepted Answer

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

Question 18

State in which quadrant or on what axis the terminal side of a 216° angle in standard position lies.

Accepted Answer

A)  QI 
B)  QII 
C)  QIII 
D)  x-axis 
A)  QI 
B)  QII 
C)  QIII 
D)  x-axis

Question 19

Glide slope of an airplane. The glide slope of an airplane is the angle between the flight path approaching the runway and the ground. An airliner approaches a runway on a glide slope of approximately 3°. How high is an airplane above the ground if the distance from the runway to a point on the ground directly below the airplane is 15,909 feet? Round your answer to the nearest whole foot.

Accepted Answer

A)  834 ft 
B)  7,955 ft 
C)  15,887 ft 
D)  2,498 ft 
A)  834 ft 
B)  7,955 ft 
C)  15,887 ft 
D)  2,498 ft

Question 20

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits.
 
C = 199 yd., a = 232 yd. , b = 219 yd.

Accepted Answer

A)  $\gamma$= 52.2°, $\alpha$ = 67.2°, $\beta$ = 60.6° 
B)  $\gamma$ = 60.6°, $\alpha$ = 52.2°, $\beta$ = 67.2° 
C)  $\gamma$ = 67.2°,$\alpha$ = 60.6°, $\beta$ = 52.2° 
D)  no solution 
A)  $\gamma$= 52.2°, $\alpha$ = 67.2°, $\beta$ = 60.6° 
B)  $\gamma$ = 60.6°, $\alpha$ = 52.2°, $\beta$ = 67.2° 
C)  $\gamma$ = 67.2°,$\alpha$ = 60.6°, $\beta$ = 52.2° 
D)  no solution

Use a calculator to approximate the tan 41.0° to three decimal places.

Stratosphere Tower. The Stratosphere Tower in Las Vegas dominates the city's landscape by rising 1,149 feet above the desert floor. The restaurant at the top of the tower turns slowly and completes a full revolution in one hour. How many radians will the restaurant have rotated in 18 minutes?

Find the angular speed, , associated with rotating a central angle θ = 12 in time t = 17 seconds. Express your answer in radians/second.

A hot air balloon is sighted at the same time by two friends who are 2.2 miles apart on the same side of the balloon. The angles of elevation from the two friends are 11.5° and 18°. How high is the balloon? Round to one decimal place.

Find the distance, s, a point travels along a circle over time t = 15 minutes, given the angular speed = 9 rotations per second and the radius r = 7 inches. Express your answer in miles (1 mile = 5,280 ft), and round your answer to one decimal place.

Solve the given triangle and round to one decimal place. $Solve the given triangle and round to one decimal place. B = 199.0 cm., c = 45.0 cm., \beta = 40.0°$ B = 199.0 cm., c = 45.0 cm., $\beta$ = 40.0°

Use a calculator to approximate the sec 51.2° to three decimal places.

Bicycle. A bicyclist is traveling at an angular speed of radians per second. How fast is she traveling in miles per hour if her tires are 27 inches in diameter? Round your answer to one decimal place.

Fruit. When a grapefruit is cut in half, wedges or sectors are visible. If the central angle of a sector is 260°, how many radians does this represent?

Solve right triangle ABC if A = 25° and c = 19.3 yd. Round lengths to one decimal place.

Use the reciprocal identity to calculate cot 45°.

Evaluate cos(-855°) exactly.

State in which quadrant or on what axis the terminal side of a 1080° angle in standard position lies.

Find the area of the triangle described. Round to the nearest integer. $Find the area of the triangle described. Round to the nearest integer. A = 274, b = 257, \beta = 29°$ A = 274, b = 257, $\beta$ = 29°

If cos θ = , and the terminal side of θ lies in quadrant IV, find csc θ.

Use the trigonometric ratio identity To calculate tan 30°.

State in which quadrant or on what axis the terminal side of a 216° angle in standard position lies.

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. C = 199 yd., a = 232 yd. , b = 219yd.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Exam 4: Trigonometric Functions of Angles

Use a calculator to approximate the tan 41.0° to three decimal places.

Stratosphere Tower. The Stratosphere Tower in Las Vegas dominates the city's landscape by rising 1,149 feet above the desert floor. The restaurant at the top of the tower turns slowly and completes a full revolution in one hour. How many radians will the restaurant have rotated in 18 minutes?

Find the angular speed, , associated with rotating a central angle θ = 12 in time t = 17 seconds. Express your answer in radians/second.

A hot air balloon is sighted at the same time by two friends who are 2.2 miles apart on the same side of the balloon. The angles of elevation from the two friends are 11.5° and 18°. How high is the balloon? Round to one decimal place.

Find the distance, s, a point travels along a circle over time t = 15 minutes, given the angular speed = 9 rotations per second and the radius r = 7 inches. Express your answer in miles (1 mile = 5,280 ft), and round your answer to one decimal place.

Solve the given triangle and round to one decimal place. B = 199.0 cm., c = 45.0 cm., β\betaβ = 40.0°

Use a calculator to approximate the sec 51.2° to three decimal places.

Bicycle. A bicyclist is traveling at an angular speed of radians per second. How fast is she traveling in miles per hour if her tires are 27 inches in diameter? Round your answer to one decimal place.

Fruit. When a grapefruit is cut in half, wedges or sectors are visible. If the central angle of a sector is 260°, how many radians does this represent?

Solve right triangle ABC if A = 25° and c = 19.3 yd. Round lengths to one decimal place.

Use the reciprocal identity to calculate cot 45°.

Evaluate cos(-855°) exactly.

State in which quadrant or on what axis the terminal side of a 1080° angle in standard position lies.

Find the area of the triangle described. Round to the nearest integer. A = 274, b = 257, β\betaβ = 29°

If cos θ = , and the terminal side of θ lies in quadrant IV, find csc θ.

Use the trigonometric ratio identity To calculate tan 30°.

State in which quadrant or on what axis the terminal side of a 216° angle in standard position lies.

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. C = 199 yd., a = 232 yd. , b = 219 yd.

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions of Real Numbers

Analytic Trigonometry

Vectors, the Complex Plane, and Polar Coordinates

Systems of Linear Equations and Inequalities

Conics, Systems of Nonlinear Equations and Inequalities, and Parametric Equations

Sequences and Series

Limits: A Preview to Calculus

Review: Equations and Inequalities

Filters

Solve the given triangle and round to one decimal place. $Solve the given triangle and round to one decimal place. B = 199.0 cm., c = 45.0 cm., \beta = 40.0°$ B = 199.0 cm., c = 45.0 cm., $\beta$ = 40.0°

Find the area of the triangle described. Round to the nearest integer. $Find the area of the triangle described. Round to the nearest integer. A = 274, b = 257, \beta = 29°$ A = 274, b = 257, $\beta$ = 29°

Solve the given triangle. Round angle to one decimal place and side measures to 3 significant digits. C = 199 yd., a = 232 yd. , b = 219yd.