Set 5: Triangles

Explanation

Answer: A

A support cable runs from the top of a 36-miles tall tower to the ground, anchored 15 miles from the base. How long is the cable?

✓ Correct

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: $a^2 + b^2 = c^2$ 1. Given values: 15 and 36 Calculate: $15^2 + 36^2 = 225 + 1296 = 1521$ Take square root: $\sqrt{1521} = 39$ Therefore, the answer is 39 miles.

Key Steps:

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The correct answer is 39

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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