AnswersTX-Mathematical Models with Applications - TorresUnit Test

Unit Test — Unit test Answers

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21
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Triangle X Y Z is shown. Angle X Z Y is a right angle. The length of Z X is b, the length of Z Y is a, and the length of hypotenuse X Y is c.

Question illustration
A
a is opposite, b is adjacent, c is the hypotenuse
B
a is the hypotenuse, b is opposite, c is adjacent
C
a is adjacent, b is the hypotenuse, c is opposite
D
a is adjacent, b is opposite, c is the hypotenuse
22
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Which trigonometric ratios are correct for triangle ABC? Select three options.

A
sin(C) =
Option A
B
cos(B) =
Option B
C
tan(C) =
Option C
D
sin(B) =
Option D
E
tan(B) =
Option E
23

Which trigonometric ratios are correct for triangle DEF? Select three options.

A
sin(D) =
Option A
B
cos(E) =
Option B
C
tan(D) =
Option C
D
sin(E) =
Option D
E
tan(D) =
Option E
24

Find tan A for the triangle below.

Question illustration
A
1.5
B
0.667
C
0.832
D
1.202
25

Julian describes an angle in the triangle using these statements.GH is the adjacent side.HK is the opposite side.GK is the hypotenuse.

Question illustration
A
∠G
B
∠H
C
∠K
D
∠H and ∠K
26

a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
27

Which statements are true about triangle QRS? Select three options.

A
The side opposite ∠Q is RS.
B
The side opposite ∠R is RQ.
C
The hypotenuse is QR.
D
The side adjacent to ∠R is SQ.
E
The side adjacent to ∠Q is QS.
28

A ship’s sonar detects a submarine 880 feet below a point on the ocean’s surface 1450 ft dead ahead of the ship. To the nearest degree, find the angle x.

Question illustration
A
59º
B
37º
C
31º
D
53º
29

Find sin–10.9563 to the nearest degree.

A
17°
B
73°
C
28°
D
13°
30

Which of the following statements is true?

A
sin 30° = cos 30°
B
sin 35° = cos 55°
C
sin 60° = cos 60°
D
sin 55° = cos 25°
31

Use the diagram to complete the statement.

Question illustration
A
cos(38°).
B
cos(52°).
C
tan(38°).
D
tan(52°).
32

A kite is currently flying at an altitude of 19 meters above the ground. If the angle of elevation from the ground to the kite is , find the length of the kite string to the nearest meter.

Question illustration
A
35 meters
B
23 meters
C
10 meters
D
29 meters
33

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places. The sine of the complementary angle to 75°

A
0.65
B
0.57
C
0.34
D
0.26
34

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find sin A. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
35

Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41.

Question illustration
A
StartFraction 9 Over 41 EndFraction
Option A
B
StartFraction 40 Over 41 EndFraction
Option B
C
StartFraction 40 Over 9 EndFraction
Option C
D
StartFraction 41 Over 9 EndFraction
Option D
36

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.

Question illustration
A
Five-thirteenths
Option A
B
Twelve-thirteenths
Option B
C
Twelve-fifths
Option C
D
Thirteen-twelfths
Option D
37

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 5, the length of B C is 3, and the length of A C is 4.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
38

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If º and a = 10 meters, find b.

Question illustration
A
17.32 m
B
6.93 m
C
14 m
D
9.99 m
39

Which of the following expressions is equal to the height, h, of this triangle?

Question illustration
A
25(cos34°)
B
25(cos56°)
C
25(tan34°)
D
25(tan56°)
40

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find tan A. a. c. b. d. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D

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