6

Set 2: Triangles

Explanation

Answer: A

A support cable runs from the top of a 60-centimeters tall tower to the ground, anchored 11 centimeters from the base. How long is the cable?

A.

61

✓ Correct
B.

71

C.

30

D.

51

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 11 and 60 Calculate: 112+602=121+3600=372111^2 + 60^2 = 121 + 3600 = 3721 Take square root: 3721=61\sqrt{3721} = 61 Therefore, the answer is 61 centimeters.

Key Steps:

•

The correct answer is 61

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