AnswersRMA FL-1206310-Geometry Semester 2Triangle Classification Theorems

Solving for Side Lengths of Right Triangles Answers

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1
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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
2
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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
3

Find the length of . Use that length to find the length of .

Question illustration
A
2.3 cm
B
4.0 cm
C
10.7 cm
D
18.6 cm
4

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)
5

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
6

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
7

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
8

A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches.What is the length of the other leg? Round to the nearest tenth.

A
14.4 in.
B
21.7 in.
C
28.9 in.
D
43.3 in.
9

A triangle has angles that measure 30o, 60o, and 90o. The hypotenuse of the triangle measures 10 inches.Which is the best estimate for the perimeter of the triangle? Round to the nearest tenth.

A
20.0 in.
B
23.1 in.
C
23.7 in.
D
27.4 in.
10

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

Question illustration
A
10.5 m
B
12.3 m
C
18.3 m
D
21.4 m
11

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
12

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
13

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.

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