8

Set 4: Triangles

Explanation

Answer: B

A support cable runs from the top of a 15-meters tall tower to the ground, anchored 8 meters from the base. How long is the cable?

A.

7

B.

17

✓ Correct
C.

8

D.

27

Detailed Explanation

Choice B 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 meters.

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.
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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