Question 1

Approximate the area of the triangle to the nearest tenth.
-

Accepted Answer

A)  343.4 
B)  132.7 
C)  204.4 
D)  171.7 
A)  343.4 
B)  132.7 
C)  204.4 
D)  171.7

Question 2

Solve.
-A guy wire to a tower makes a 69° angle with level ground. At a point 34 ft farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation to the top of the tower is 32°. Find the length
Of the wire (to the nearest foot).

Accepted Answer

A)  65 ft 
B)  35 ft 
C)  60 ft 
D)  30 ft 
A)  65 ft 
B)  35 ft 
C)  60 ft 
D)  30 ft

Question 3

Find the magnitude and direction angle of the resultant.
-

Accepted Answer

A)    
B)    
C)    
D)  2, 101.3° 
A)    
B)    
C)    
D)  2, 101.3°

Question 4

Perform the operation using trigonometric form. Write the answer in the form a + bi
-(5 + 7i)(5 + 4i)

Accepted Answer

A)    
B)  -3 - 55i 
C)  53 + 15i 
D)  -3 + 55i 
A)    
B)  -3 - 55i 
C)  53 + 15i 
D)  -3 + 55i

Question 5

For the given complex number, determine the complex conjugate in trigonometric form.
-  (cos (-30°) + i sin (-30°))

Accepted Answer

A)    (cos (30°) + i sin (30°)) 
B)    (cos (-30°) + i sin (-30°)) 
C)    (cos (30°) + i sin (-30°)) 
D)    (cos (-30°) + i sin (30°)) 
A)    (cos (30°) + i sin (30°)) 
B)    (cos (-30°) + i sin (-30°)) 
C)    (cos (30°) + i sin (-30°)) 
D)    (cos (-30°) + i sin (30°))

Question 6

Graph the point.
-

Accepted Answer

A)    
B)    
A)    
B)

Question 7

Eliminate the parameter of the pair of parametric equations.
-

Accepted Answer

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

Question 8

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth.
-

Accepted Answer

A)  (-0.50, -2.86) 
B)  (-2.86, -0.50) 
C)  (2.86, -0.50) 
D)  (-0.50, 2.86) 
A)  (-0.50, -2.86) 
B)  (-2.86, -0.50) 
C)  (2.86, -0.50) 
D)  (-0.50, 2.86)

Question 9

Change the polar coordinates   to rectangular coordinates (x, y).
-(6, 45°)

Accepted Answer

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

Question 10

Perform the indicated operation. Write the answer in the form a + bi.
-4(cos 30° + i sin 30°) · 6(cos 330° + i sin 330°)

Accepted Answer

A)    
B)  24i 
C)    
D)  24 
A)    
B)  24i 
C)    
D)  24

Question 11

Write the complex number in the form a + bi.
-3(cos 60° + i sin 60°)

Accepted Answer

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

Question 12

Perform the indicated operation. Write the answer in the form a + bi.
-

Accepted Answer

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

Question 13

Solve the triangle. If there is more than one triangle with the given parts, give both solutions.
-  = 31.7° b = 13.12
A = 24.0

Accepted Answer

A)    
B)  No solution 
C)    
D)    
A)    
B)  No solution 
C)    
D)

Question 14

Determine which of the position vectors shown in the figure below has the given magnitude and direction angle.  
-Magnitude 2 and direction angle 150°

Accepted Answer

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

Question 15

Graph the pair of parametric equations in the rectangular coordinate system.
-

Accepted Answer

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

Question 16

Solve.
-Two forces of 24 and 52 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Accepted Answer

A)  57 N, 65° 
B)  57 N, 75° 
C)  3280 N, 65° 
D)  57 N, 25° 
A)  57 N, 65° 
B)  57 N, 75° 
C)  3280 N, 65° 
D)  57 N, 25°

Question 17

Graph the polar equation.
-

Accepted Answer

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

Question 18

Perform the indicated operation. Use the form for vectors. -u = <11, 10>, v = <12, 23>; Find u - v.

Accepted Answer

A) <1, -11> B) <-1, -13> C) <21, 35> D) <23, 33> A) <1, -11> B) <-1, -13> C) <21, 35> D) <23, 33>

Question 19

Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction
angle   Round to the nearest tenth.
-

Accepted Answer

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

Question 20

Approximate the area of the triangle to the nearest tenth.
-  = 60.8°, a = 36.2, c = 75.4

Accepted Answer

A)  1187.1 
B)  1191.3 
C)  1206.4 
D)  1200.6 
A)  1187.1 
B)  1191.3 
C)  1206.4 
D)  1200.6

Approximate the area of the triangle to the nearest tenth. -

Solve. -A guy wire to a tower makes a 69° angle with level ground. At a point 34 ft farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation to the top of the tower is 32°. Find the length Of the wire (to the nearest foot).

Find the magnitude and direction angle of the resultant. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -(5 + 7i)(5 + 4i)

For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°))

Graph the point. -

Eliminate the parameter of the pair of parametric equations. -

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -

Change the polar coordinates to rectangular coordinates (x, y). -(6, 45°)

Perform the indicated operation. Write the answer in the form a + bi. -4(cos 30° + i sin 30°) · 6(cos 330° + i sin 330°)

Write the complex number in the form a + bi. -3(cos 60° + i sin 60°)

Perform the indicated operation. Write the answer in the form a + bi. -

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 31.7° b = 13.12 A = 24.0

Determine which of the position vectors shown in the figure below has the given magnitude and direction angle. -Magnitude 2 and direction angle 150°

Graph the pair of parametric equations in the rectangular coordinate system. -

Solve. -Two forces of 24 and 52 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Graph the polar equation. -

Perform the indicated operation. Use the form <a, b> for vectors. -u = <11, 10>, v = <12, 23>; Find u - v.

Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. -

Approximate the area of the triangle to the nearest tenth. - = 60.8°, a = 36.2, c = 75.4

Equations, Inequalities, and Modeling

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Polynomial and Rational Functions

Exponential and Logarithmic Functions

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Exam 7: Applications of Trigonometry

Approximate the area of the triangle to the nearest tenth. -

Solve. -A guy wire to a tower makes a 69° angle with level ground. At a point 34 ft farther from the tower than the wire but on the same side as the base of the wire, the angle of elevation to the top of the tower is 32°. Find the length Of the wire (to the nearest foot).

Find the magnitude and direction angle of the resultant. -

Perform the operation using trigonometric form. Write the answer in the form a + bi -(5 + 7i)(5 + 4i)

For the given complex number, determine the complex conjugate in trigonometric form. - (cos (-30°) + i sin (-30°))

Graph the point. -

Eliminate the parameter of the pair of parametric equations. -

Use a calculator to convert from polar to rectangular coordinates. Round to the nearest hundredth. -

Change the polar coordinates to rectangular coordinates (x, y). -(6, 45°)

Perform the indicated operation. Write the answer in the form a + bi. -4(cos 30° + i sin 30°) · 6(cos 330° + i sin 330°)

Write the complex number in the form a + bi. -3(cos 60° + i sin 60°)

Perform the indicated operation. Write the answer in the form a + bi. -

Solve the triangle. If there is more than one triangle with the given parts, give both solutions. - = 31.7° b = 13.12 A = 24.0

Determine which of the position vectors shown in the figure below has the given magnitude and direction angle. -Magnitude 2 and direction angle 150°

Graph the pair of parametric equations in the rectangular coordinate system. -

Solve. -Two forces of 24 and 52 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force.

Graph the polar equation. -

Perform the indicated operation. Use the form <a, b> for vectors. -u = <11, 10>, v = <12, 23>; Find u - v.

Find the magnitude of the horizontal and the vertical components for the vector with the given magnitude and direction angle Round to the nearest tenth. -

Approximate the area of the triangle to the nearest tenth. - = 60.8°, a = 36.2, c = 75.4

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters