Deck 7: Applications of Trigonometry

Question 1

Solve the triangle, if it exists. Round answers to one decimal place.

A)No triangle is formed.
B)
C) or
D) or
E)

Answer 1

or

Question 2

Find the dot product of the vectors v = and w = .

A)-27
B)-85
C)-130
D)45
E)-77

Answer 2

45

Question 3

Find the vector P 1 P 2 where the initial point is and terminal point is .

A)
B)
C)
D)
E)

Answer 3

Question 4

Find the third side of the triangle. Round answer to two decimal places.

A)c = 10.90
B)c = 16.79
C)c = 4.56
D)c = 13.48
E)c = 14.66

Question 5

A triangular city lot has sides of 225 feet, 190 feet, and 161 feet. Find the angle between the longer two sides of the lot. Round answer to one decimal place.

A)44.7°
B)45.3°
C)79.3°
D)56.1°
E)43.4°

Question 6

Solve the triangle, if it exists. Round answers to one decimal place.

A)
B)
C)No triangle is formed.
D)
E)

Question 7

Find the third side of the triangle. Round answer to the nearest whole number.

A)a = 32
B)a = 50
C)a = 46
D)a = 42
E)a = 28

Question 8

Divide the complex numbers. Write the answer in standard form rounded to three decimal places.

A)-0.314 + 2.984 i
B)0.914 + 0.407 i
C)1.500 + 2.598 i
D)2.741 + 1.22 i
E)2.427 + 1.763 i

Question 9

Write the complex number z = 2 in trigonometric form.

A)
B)
C)
D)
E)

Question 10

Solve the triangle. Round answers to one decimal place.

A)
B)
C)
D)
E)

Question 11

Find the dot product of the vectors v = -8 i - 9 j and w = - i + 6 j .

A)-39
B)62
C)27
D)-46
E)-57

Question 12

Write the complex number in trigonometric form.

A)2 cis 45°
B)2 cis 315°
C)2 cis 135°
D)2 cis 210°
E)2 cis 225°

Question 13

Multiply the complex numbers. Write the answer in trigonometric form.

A)56 cis
B)56 cis
C)15 cis
D)56 cis
E)15 cis

Question 14

Find the angle between the two vectors v = 5 i + 3 j and w = 3 i - 3 j .Round answer to one decimal place.

A)166.2°
B)47.4°
C)76.0°
D)14.0°
E)55.6°

Question 15

Find the third side of the triangle. Round answer to one decimal place.

A)b = 38.5
B)b = 41.4
C)b = 9.5
D)b = 39.5
E)b = 37.5

Question 16

Solve the triangle, if it exists. Round answers to two decimal places.

A)
B)No triangle is formed.
C)
D)
E)

Question 17

Find the magnitude and direction for the vector. Round answers to one decimal place. v = -5 i + 6 j

A)
B)
C)
D)
E)

Question 18

Solve the triangle, if it exists. Round answers to the nearest whole number.

A)
B)
C)
D)
E)No triangle is formed.

Question 19

Perform the indicated operations where u = and v = .

A)
B)
C)
D)
E)

Question 20

Find the third side of the triangle. Round answer to one decimal place.

A)a = 555.5
B)a = 112.0
C)a = 518.3
D)a = 356.1
E)a = 590.3

Question 21

Find all roots of the equation. Write the answers in trigonometric form.

A)
B)
C)
D)
E)

Question 22

Use the equation to find for the equation below. Write the answer in trigonometric form.

A)
B)
C)
D)
E)

Question 23

Perform the indicated operation in trigonometric form. Write the solution in standard form rounded to four decimal places.

A)0.1581 + 0.2739 i
B)0.1000 - 0.3 i
C)0.3098 - 0.0634 i
D)-0.2098 + 0.2366 i
E)-0.6635 + 0.7482 i

Question 24

Find the indicated power. Write the answer in standard form.

A)
B)
C)
D)
E)