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Angela drives 30 miles north and then 40 miles east. How far is she from where she began?
A. 50 miles
B. 45 miles
C. 35 miles
D. 60 miles
Correct Answer: A
Explanation/Reference:
Explanation:
By drawing Angela’s route, we can connect her end point and her start point with a straight line and will then have a right triangle. The Pythagorean theorem can be used to solve for how far she is from the starting point: a2 + b2 = c2, 302 +
402 = c2, c = 50. It can also be noted that Angela’s route represents a multiple of the 3-4-5 Pythagorean triple.
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