9

Set 5: Triangles

Explanation

Answer: D

Riley is building a ramp that rises 15 kilometers vertically over a horizontal distance of 8 kilometers. What is the length of the ramp surface?

A.

7

B.

8

C.

27

D.

17

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 8 and 15 Calculate: 82+152=64+225=2898^2 + 15^2 = 64 + 225 = 289 Take square root: 289=17\sqrt{289} = 17 Therefore, the answer is 17 kilometers.

Key Steps:

•

The correct answer is 17

Why others are wrong:
A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.
B: This would give an incorrect result. Choice B is incorrect and may result from a calculation error.
C: This would give an incorrect result. Choice C is incorrect and may result from a calculation error.
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