6

Set 2: Triangles

Explanation

Answer: A

Lucas places a 183-meters ladder against a building. The base of the ladder is 33 meters from the wall. How high up the wall does the ladder reach?

A.

180

✓ Correct
B.

90

C.

170

D.

190

Detailed Explanation

Choice A is correct. Using the Pythagorean theorem: a2+b2=c2a^2 + b^2 = c^2 1. Given values: 33 and 180 Calculate: 332+1802=1089+32400=3348933^2 + 180^2 = 1089 + 32400 = 33489 Take square root: 33489=183\sqrt{33489} = 183 Therefore, the answer is 180 meters.

Key Steps:

•

The correct answer is 180

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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