SAT Math Multiple Choice Practice Question 127: Answer and Explanation

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Question: 127

17. On a hike, a student walked 10 kilometers due north, 5 kilometers due east, and 2 kilometers due south. Her distance, in a straight line, from her starting point is now closest to

A. 2.6 kilometers
B. 8 kilometers
C. 9.4 kilometers
D. 12.1 kilometers
E. 17 kilometers

Correct Answer: C


C. As is often the case, drawing a diagram like this one can help you solve this problem:

The dotted line shows the student's distance from home, which is the hypotenuse of a right triangle with legs 5 and 8 (from 10 - 2). That ol' Pythagorean Theorem tells you that .

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