SAT Math Multiple Choice Question 461: Answer and Explanation

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Test Information

Question: 461


Based on the figure above, what is the approximate length of side AB?

  • A. 6
  • B. 7.2
  • C. 8
  • D. 8.5

Correct Answer: A



Difficulty: Medium

Category: Additional Topics in Math / Trigonometry

Strategic Advice: ABC is a right triangle. You know the length of one side and the measure of one of the acute angles, which means you can use SOH CAH TOA.

Getting to the Answer: You know the length of the hypotenuse (10) and you're looking for the length of the side adjacent to (touching) the 53° angle, so use cosine. Set up a trigonometric ratio and solve for the length of AB. Make sure your calculator is set to degree mode.

The length of AB is approximately 6.

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