Question 1

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Accepted Answer

A) 43.69 sq.units 
B) 49.15 sq.units 
C) 54.61 sq.units 
D) 65.53 sq.units 
E) 60.07 sq.units 
A) 43.69 sq.units 
B) 49.15 sq.units 
C) 54.61 sq.units 
D) 65.53 sq.units 
E) 60.07 sq.units

Question 2

Given   ,   , and   , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Accepted Answer

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

Question 3

Given   ,   , and   , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Accepted Answer

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

Question 4

Find the magnitude of vector v with initial point   and terminal point   .

Accepted Answer

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

Question 5

Find the magnitude of vector v.

Accepted Answer

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

Question 6

Given   and   , determine   .

Accepted Answer

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

Question 7

Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]

Accepted Answer

A)    
B)    
C)    
D)    
E) none of these 
A)    
B)    
C)    
D)    
E) none of these

Question 8

Find the angle between the vectors u and v.

Accepted Answer

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

Question 9

Find the angle between the vectors u and v.

Accepted Answer

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

Question 10

Find the magnitude of vector v.

Accepted Answer

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

Question 11

In the figure below,   ,   , and   . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Accepted Answer

A) 10.00 
B) 7.21 
C) 10.93 
D)    
E) 12.17 
A) 10.00 
B) 7.21 
C) 10.93 
D)    
E) 12.17

Question 12

Find all solutions to the following equation.

Accepted Answer

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

Question 13

Given   ,   , and   , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Accepted Answer

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

Question 14

Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.

Accepted Answer

A) 134° 
B) 119° 
C) 127° 
D) 122° 
E) 114° 
A) 134° 
B) 119° 
C) 127° 
D) 122° 
E) 114°

Question 15

Given vectors   and   determine the quantity indicated below.

Accepted Answer

A) 12 
B) -112 
C) -44 
D) -48 
E) -144 
A) 12 
B) -112 
C) -44 
D) -48 
E) -144

Question 16

Given   ,   , and   , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Accepted Answer

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

Question 17

A straight road makes an angle, A, of   with the horizontal. When the angle of elevation, B, of the sun is   , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

Accepted Answer

A) 4.28 feet 
B) 1.97 feet 
C) 5.26 feet 
D) 9.60 feet 
E) 8.41 feet 
A) 4.28 feet 
B) 1.97 feet 
C) 5.26 feet 
D) 9.60 feet 
E) 8.41 feet

Question 18

Perform the operation shown below and leave the result in trigonometric form.

Accepted Answer

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

Question 19

Find the trigonometric form of the complex number represented graphically.

Accepted Answer

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

Question 20

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Accepted Answer

A) 68.17 sq.units 
B) 61.36 sq.units 
C) 54.54 sq.units 
D) 81.81 sq.units 
E) 74.99 sq.units 
A) 68.17 sq.units 
B) 61.36 sq.units 
C) 54.54 sq.units 
D) 81.81 sq.units 
E) 74.99 sq.units

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Find the magnitude of vector v with initial point and terminal point .

Find the magnitude of vector v.

Given and , determine .

Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]

Find the angle between the vectors u and v.

Find the angle between the vectors u and v.

Find the magnitude of vector v.

In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Find all solutions to the following equation.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.

Given vectors and determine the quantity indicated below.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

Perform the operation shown below and leave the result in trigonometric form.

Find the trigonometric form of the complex number represented graphically.

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

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Exam 7: Additional Topics in Trigonometry

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Given , , and , use the Law of Sines to solve the triangle for the value of a. Round answer to two decimal places.

Find the magnitude of vector v with initial point and terminal point .

Find the magnitude of vector v.

Given and , determine .

Using the figure below, sketch a graph of the given vector. [The graphs in the answer choices are drawn to the same scale as the graph below.]

Find the angle between the vectors u and v.

Find the angle between the vectors u and v.

Find the magnitude of vector v.

In the figure below, , , and . Use this information to solve the parallelogram for c. The diagonals of the parallelogram are represented by c and d. Round answer to two decimal places.

Find all solutions to the following equation.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

Given that Force 1 = 70 pounds and Force 2 = 90 pounds, find the angle between the forces if the magnitude of the resultant force is 140 pounds. Round answer to the nearest degree.

Given vectors and determine the quantity indicated below.

Given , , and , use the Law of Cosines to solve the triangle for the value of C. Round answer to two decimal places.

A straight road makes an angle, A, of with the horizontal. When the angle of elevation, B, of the sun is , a vertical pole beside the road casts a shadow 6 feet long parallel to the road. Approximate the length of the pole. Round answer to two decimal places.

Perform the operation shown below and leave the result in trigonometric form.

Find the trigonometric form of the complex number represented graphically.

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters