SAT Math Multiple Choice Question 131: Answer and Explanation

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Question: 131

11.

In the figure above, if y = 40 and = 8, which of the following most closely approximates the length of ?

  • A. 0.1
  • B. 9.53
  • C. 10.44
  • D. 12.45

Correct Answer: B

Explanation:

B Triangle legs LN and MN are opposite and adjacent, respectively, to ∠y. Therefore, from SOHCAHTOA, we need to use the tangent trigonometric function. Plugging in the values that the question gives us into the equation for tangent, we get tan 40° = . Now, use your calculator to determine that the length of MN most closely approximates 9.53, which is (B).

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