SAT Math Multiple Choice Question 111: Answer and Explanation

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Question: 111

6. Ryan and Allison build a ramp to help their elderly cat, Simms, walk up to their bed. They need the ramp to make a 35° angle with their bedroom floor. How long must the ramp be to reach the top of their bed that is exactly three feet off the ground?

  • A.
  • B.
  • C.
  • D.

Correct Answer: D


D The question describes a ramp that forms a triangle, the length of which is the hypotenuse of the triangle. The height of the ramp (3 feet) is the length of the side of the triangle opposite the 35° angle. In general for some angle θ, sin θ = . In the question, this corresponds to sin 35° = = length of ramp = . This is (D).

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