SAT Math Multiple Choice Question 991: Answer and Explanation

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Question: 991

11. If the longer leg of a right triangle has length 32 centimeters, and the measure ofthe angle that is adjacent to that leg is 30°, which of the following represents thelength, in centimeters, of the hypotenuse of the triangle?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D

Explanation:

D

Difficulty: Medium

Category: Additional Topics in Math / Trigonometry

Strategic Advice: Take a peek at the answer choices-they involve trig functions, so set up a proportion using SOH CAH TOA.

Getting to the Answer: Draw a quick sketch of a right triangle. Label the longer leg 32 and the angle adjacent to it 30°:

Notice that you have the adjacent side (32) and you're looking for the hypotenuse, so use cosine:

This matches (D).

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