SAT Math Multiple Choice Question 461: Answer and Explanation
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
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.