AnswersOH-Geometry BSolving for Side Lengths of Right Triangles

Solving for Side Lengths of Right Triangles Answers

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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
2
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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
3

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
4

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
5

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
6

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)
7

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
8

Which equation can be used to solve for c?

Question illustration
A
c = (5)cos(35o)
B
c =
Option B
C
c = (5)sin(35o)
D
c =
Option D
9

Which equation can be used to solve for b?

Question illustration
A
tan(30o) =
Option A
B
tan(30o) =
Option B
C
tan(30o) =
Option C
D
tan(30o) =
Option D
10

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

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