3

Set 3: Triangles

Explanation

Answer: D

Ryan places a 75-yards ladder against a building. The base of the ladder is 21 yards from the wall. How high up the wall does the ladder reach?

A.

82

B.

62

C.

36

D.

72

✓ Correct

Detailed Explanation

Choice D is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 21 and 72 Calculate: 212+722=441+5184=562521^2 + 72^2 = 441 + 5184 = 5625 Take square root: 5625=75\sqrt{5625} = 75 Therefore, the answer is 72 yards.

Key Steps:

•

The correct answer is 72

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