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Right Triangles Answers

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1
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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
2
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a. c. b. d. Please select the best answer from the choices provided

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A
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B
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C
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D
3

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

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A
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B
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C
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D
4

From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is . Estimate the height of the building to the nearest foot.

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A
18 feet
B
16 feet
C
39 feet
D
99 feet
5

In a right triangle, which ratio represents the sine of an angle? a. c. b. d. Please select the best answer from the choices provided

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A
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B
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C
D
D
6

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

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A
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B
C
C
D
D
7

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

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A
B
B
C
C
D
D
8

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

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A
B
B
C
C
D
D
9

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.

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A
35 meters
B
23 meters
C
10 meters
D
29 meters
10

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is ? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.

Question illustration
A
0.1 mile
B
0.5 mile
C
35.1 miles
D
8.6 miles
11

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

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A
B
B
C
C
D
D
12

a. c. b. d. No triangle satisfies the given conditions. Please select the best answer from the choices provided

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A
B
B
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C
D
D
13

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If a is 3 cm and tan A is 0.75, what is b?

Question illustration
A
17.32 cm
B
6.93 cm
C
4 cm
D
9.99 cm
14

a. c. b. d. No triangle satisfies the given conditions. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
15

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
16

A small plane is 4 miles by land away from the airport. The angle of elevation from the airport to the airplane is ? What is the altitude of the plane? Round your answer to the nearest tenth of a mile.

Question illustration
A
0.1 mile
B
0.5 mile
C
35.1 miles
D
8.6 miles
17

Use the diagram above and round your answer to the nearest hundredth. If a is 6 in. and = 31º, what is b?

Question illustration
A
6.93 in.
B
14 in.
C
17.32 in.
D
9.99 in.
18

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

Question illustration
A
A
B
B
C
C
D
D
19

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If º and b = 12 meters, find a.

Question illustration
A
17.32 m
B
6.93 m
C
14 m
D
9.99 m
20

From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is . Estimate the height of the building to the nearest foot.

Question illustration
A
18 feet
B
16 feet
C
39 feet
D
99 feet

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