AnswersMISD-Geometry-RECOVERY-B-2019-2020Exploring the Pythagorean Theorem

Solving for Angle Measures of Right Triangles Answers

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1
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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
2
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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
3

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
4

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
5

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)
6

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
7

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
8

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.
9

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
10

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

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Solving for Angle Measures of Right Triangles…