AnswersGA-Geometry Concepts and Connections A-CRRight Triangle Similarity

Solving for Side Lengths of Right Triangles Answers

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Which equation can be solved to find one of the missing side lengths in the triangle?

Question illustration
A
cos(60o) =
Option A
B
cos(60o) =
Option B
C
cos(60o) =
Option C
D
cos(60o) =
Option D
2
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Which equation can be used to solve for b?

Question illustration
A
b = (8)tan(30o)
B
b =
Option B
C
b = (8)sin(30o)
D
b =
Option D
3

Right triangle ABC is shown.

Question illustration
A
sin(50o) =
Option A
B
sin(50o) =
Option B
C
cos(50o) =
Option C
D
cos(50o) =
Option D
4

What is the length of ? Round to the nearest tenth.

Question illustration
A
6.8 cm
B
7.5 cm
C
14.5 cm
D
17.7 cm
5

What is the approximate value of x? Round to the nearest tenth.

Question illustration
A
3.1 cm
B
3.9 cm
C
4.6 cm
D
5.4 cm
6

The equation can be used to determine the length of line segment AC.

Question illustration
A
11.8 cm
B
12.9 cm
C
14.9 cm
D
15.3 cm
7

A right triangle has one side that measures 4 in. The angle opposite that side measures 80o.What is the length of the hypotenuse of the triangle? Round to the nearest tenth.

A
3.9 in.
B
4.1 in.
C
22.7 in.
D
23.0 in.
8

A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building (along the ground).Approximately how long is the ramp? Round to the nearest tenth.

A
10.3 feet
B
10.4 feet
C
13.2 feet
D
38.6 feet
9

Which relationship in the triangle must be true?

Question illustration
A
sin(B) = sin(A)
B
sin(B) = cos(90 – B)
C
cos(B) = sin(180 – B)
D
cos(B) = cos(A)
10

What is the length of ? Round to the nearest tenth.

Question illustration
A
9.7 m
B
10.4 m
C
37.3 m
D
38.6 m

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