Set 4: Triangles

Explanation

Answer: C

A support cable runs from the top of a 40-miles tall tower to the ground, anchored 9 miles from the base. How long is the cable?

✓ Correct

Detailed Explanation

Choice C is correct. Using the Pythagorean theorem: $a^2 + b^2 = c^2$ 1. Given values: 9 and 40 Calculate: $9^2 + 40^2 = 81 + 1600 = 1681$ Take square root: $\sqrt{1681} = 41$ Therefore, the answer is 41 miles.

Key Steps:

•

The correct answer is 41

Why others are wrong:

A: This would give an incorrect result. Choice A is incorrect and may result from a calculation error.

B: This would give an incorrect result. Choice B 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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