Set 2: Triangles

Explanation

Answer: A

A support cable runs from the top of a 120-miles tall tower to the ground, anchored 22 miles from the base. How long is the cable?

122

✓ Correct

132

112

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: $a^2 + b^2 = c^2$ 1. Given values: 22 and 120 Calculate: $22^2 + 120^2 = 484 + 14400 = 14884$ Take square root: $\sqrt{14884} = 122$ Therefore, the answer is 122 miles.

Key Steps:

•

The correct answer is 122

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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