AnswersFall 24 GMS Geometry Concepts and Connections BSolving for Angle Measures of Right Triangles

Solving for Angle Measures of Right Triangles — Unit test Answers

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Two students describe the sides of right triangle ABC in relation to ∠B. TomasAB is the hypotenuse.AC is the opposite side.BC is the adjacent side.IlianaAB is the hypotenuse.BC is the opposite side.AC is the adjacent side.Who is correct? Explain.

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A
Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B.
B
Iliana is correct; BC is opposite ∠B and AC is adjacent to ∠B.
C
Both are correct because both AC and BC are opposite ∠B.
D
Neither is correct because neither AC nor BC is opposite ∠B.
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Larissa dives into a pool that is 8 feet deep. She touches the bottom of the pool with her hands 6 feet horizontally from the point at which she entered the water.

A
36.9°
B
41.4°
C
48.6°
D
53.1°
23

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

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A
9.7 m
B
10.4 m
C
37.3 m
D
38.6 m
24

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.
25

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

A
acute, because 62 + 102 < 122
B
acute, because 6 + 10 > 12
C
obtuse, because 62 + 102 < 122
D
obtuse, because 6 + 10 > 12

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