SAT Math Multiple Choice Question 667: Answer and Explanation

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Question: 667

7. Images

In the triangle above, what is the value of k? (sin 35° = 0.574, cos 35° = 0.819, tan 35° = 0.700)

  • A. 6.00
  • B. 6.88
  • C. 8.40
  • D. 9.83

Correct Answer: B

Explanation:

B

Advanced Mathematics (triangle trigonometry) EASY

Remember the definitions of the basic trigonometric functions: SOH CAH TOA. Since the "side of interest" (k) is the OPPOSITE side to the given angle (35°), and since we know the length of the HYPOTENUSE (12), we should use SOH.

Images

Plug in the values:

Images

Substitute sin 35° = 0.574:

Images

Multiply by 12:

(12)(0.574) = 6.88 = k

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