SAT Math Multiple Choice Question 996: Answer and Explanation

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Test Information

Question: 996

16.

If the area of the triangle shown above is 12 square inches, what is the value ofcos z?

  • A.
  • B.
  • C.
  • D. 1

Correct Answer: A

Explanation:

A

Difficulty: Hard

Category: Additional Topics in Math / Trigonometry

Strategic Advice: Sometimes, it is necessary to draw in the height of a triangle to get an idea of which side lengths you need. Use the information given about the area of the triangle to find its height.

Getting to the Answer: Find the height of the triangle and add it to the figure:

Next, use the Pythagorean theorem to find the missing side of the right triangle that contains z:

Finally, use SOH CAH TOA:. This means (A) is correct.

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