5

Set 4: Triangles

Explanation

Answer: B

Liam is building a ramp that rises 60 miles vertically over a horizontal distance of 32 miles. What is the length of the ramp surface?

A.

34

B.

68

✓ Correct
C.

78

D.

58

Detailed Explanation

Choice B is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 32 and 60 Calculate: 322+602=1024+3600=462432^2 + 60^2 = 1024 + 3600 = 4624 Take square root: 4624=68\sqrt{4624} = 68 Therefore, the answer is 68 miles.

Key Steps:

•

The correct answer is 68

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