4
QuizMultiple Choice

Solving for Side Lengths of Right Triangles (Sec 8-5)

Question 4 • *CR CCSS Math 2 S2 [M2960OX]

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.

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

Explanation

Use the sine ratio: sin(80°) = opposite ÷ hypotenuse. Since the opposite side is 4 in., the hypotenuse is 4 ÷ sin(80°) ≈ 4.06 in. Rounded to the nearest tenth, that is 4.1 in., choice B.

AI-written and checked against the verified answer.

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