9514 1404 393
Answer:
A. 17.5 miles
Explanation:
Your knowledge of triangles tells you the hypotenuse is longer than the long leg of the triangle, and is shorter than than the sum of the two legs. This means the difference between Michael's distance and Leah's distance will be strictly less than 25 miles.
The only answer choice in that range is 17.5 miles.
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If you want to do the math, you can find Michael's distance to be ...
38 +25 = 63 miles.
Leah's distance will be ...
√(38² +25²) = √2069 ≈ 45.5 miles.
Then Michael's excess distance is ...
63 -45.5 = 17.5 miles