PSAT Math Grid-Ins Question 19: Answer and Explanation
Question: 19
In the triangle above, 
. What is the value of x?
Correct Answer: 7.5
Explanation:
7.5
The question asks for the value of x, the length of a side of a right triangle. The value of tan a° is given, and the length of the side opposite to that angle is 7. SOHCAHTOA says that tangent θ = 
. The needed side is adjacent to that angle, so set up a proportion: 
. Cross-multiply to get 14x = 105. Divide both sides by 14 so x = 7.5. The correct answer is 7.5.
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