7
QuizMultiple Choice

Changes in Period and Phase Shift of Sine and Cosine Functions — Test

Question 7 • AZ-Common Core Algebra II B

In a right triangle, angle A measures 20°. The side opposite angle A is 10 centimeters long. Approximately how long is the hypotenuse of the triangle?

Answer
A
3.4 centimeters
B
10.6 centimeters
C
27.5 centimeters
D
29.2 centimeters

Explanation

Use the sine ratio: sin(20°) = opposite ÷ hypotenuse. Since the opposite side is 10 cm, the hypotenuse is 10 ÷ sin(20°) ≈ 10 ÷ 0.342 ≈ 29.2 cm. Therefore, the hypotenuse is approximately 29.2 centimeters, choice D.

AI-written and checked against the verified answer.

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