7
QuizMultiple Choice

Pythagorean Theorem

Question 7 • (Volch)WCA 3230 Geometry 3rd Nine Weeks 2025-2026

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high above the ground is the top of the ladder? Round to the nearest tenth of a foot.

Answer
A
9.1 feet
B
11.6 feet
C
12.4 feet
D
153.0 feet

Explanation

The ladder, the wall, and the ground form a right triangle. The ladder is the hypotenuse, so the Pythagorean theorem gives the height squared as 12² − 3² = 144 − 9 = 135. The height is √135 ≈ 11.6 feet, so the best answer is B, 11.6 feet.

AI-written and checked against the verified answer.

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