AnswersMathematics IIITrigonometric Applications

Trigonometric Applications — Test Answers

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3

Which measures are accurate regarding triangle JKL ? Choose two correct answers.

A
k almost equal to 4 point 6 units
B
KL almost equal to 2 point 5 units
C
KL almost equal to 3 point 2 units
D
k almost equal to 3 point 7 units
E
m angle cap k is equal to 94 degrees
4

What is the area of triangle PQR ? Round to the nearest tenth of a square unit.

A
70 point 5 square units
B
185 point 4 square units
C
222 point 5 square units
D
111 point 3 square units
5

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

A
62 square centimeters
B
25 square centimeters
C
72 square centimeters
D
15 square centimeters
6

Which equation correctly uses the law of cosines to solve for y ?

A
y squared is equal to 9 squared plus 19 squared minus 2 9 19 cosine open paren 41 degrees close paren
B
y squared is equal to 9 squared plus 19 squared minus 2 y 19 cosine open paren 41 degrees close paren
C
9 squared is equal to y squared plus 19 squared minus 2 y 19 cosine open paren 41 degrees close paren
D
9 squared is equal to y squared plus 19 squared minus 2 9 19 cosine open paren 41 degrees close paren
7

Which is the best approximation of the value of x ? Use the law of sines to find the answer.

A
1 point 5 units
B
3 point 6 units
C
2 point 9 units
D
2 point 1 units
9

What is the area of triangle ABC ? Round to the nearest hundredth of a square unit.

A
81 point 3 3 square units
B
372 point 7 1 square units
C
17 point 7 5 square units
D
957 point 7 4 square units
11

The height, h , in feet of a ball suspended from a spring as a function of time, t , in seconds can be modeled by the equation h is equal to 3 sine open paren pi over 2 times open paren t plus 2 close paren close paren plus 5 Which of the following is the graph of this equation?

A
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 10 and is labeled Time. The vertical axis goes from 0 to 10 and is labeled Height. Points start at (0 comma 8) and fall to (4 comma 2). The points rise to (8 comma 8), and rise back to (10 comma 4).
B
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 10 and is labeled Time. The vertical axis goes from 0 to 10 and is labeled Height. Points start at (0 comma 5 point 5) and rise to (1 comma 8). The points fall to (3 comma 2), and rise to (5 comma 8). The points fall to (7 comma 2), and rise to (9 comma 8). Then the points go down.
C
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 8 and is labeled Time, in seconds. The vertical axis goes from 0 to 20 and is labeled Height, in inches. Points start at (0 comma 10) and rise to (2 comma 16). The points fall to (6 comma 4), and rise back to (9 comma 16).
D
Image with description A first-quadrant coordinate plane. The horizontal axis goes from 0 to 10 and is labeled Time, in seconds. The vertical axis goes from 0 to 10 and is labeled Height, in inches. Points start at (0 comma 4 point 5) and fall to (1 comma 2). The points rise to (3 comma 8), and rise back to (5 comma 2). The points rise to (7 comma 8), and fall to (9 comma 2). Then the points go up.
15

The height, h , in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t , in hours? Assume that the time at t is equal to 0 is 12:00 a.m.

A
h is equal to cosine of open paren pi over 12 t close paren plus 9
B
h is equal to 0 point 5 cosine open paren pi over 6 t close paren plus 9 point 5
C
h is equal to 0 point 5 cosine open paren pi over 12 t close paren plus 9 point 5
D
h is equal to cosine of open paren pi over 6 t close paren plus 9
18

Which equation can be used to solve for angle cap A ?

A
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 3 point 2
B
sine of cap A over 2 point 4 is equal to sine of open paren 110 degrees close paren over 4 point 6
C
sine of cap A over 3 point 2 is equal to sine of open paren 110 degrees close paren over 4 point 6
D
sine of cap A over 4 point 6 is equal to sine of open paren 110 degrees close paren over 2 point 4
20

What is the measure of angle cap s to the nearest whole degree?

A
26 degrees
B
19 degrees
C
33 degrees
D
30 degrees

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