7
QuizMultiple Choice

Unknown Leg Lengths in Right Triangles — Quiz

Question 7 • Foundations of Math 1

A ladder that is 21 feet long is propped against a building. The bottom of the ladder was placed 4 feet from the base of the building. How high up on the building does the ladder reach? Round the answer to the nearest tenth of a foot.

Answer
A
20 point 6 feet
B
4 point 1 feet
C
21 point 4 feet
D
17 point 0 feet

Explanation

The ladder, building, and ground form a right triangle, with the 21-foot ladder as the hypotenuse and the 4-foot distance as one leg. By the Pythagorean theorem, the height is √(21² − 4²) = √425 ≈ 20.6 feet. So the ladder reaches 20.6 feet up the building, choice A.

AI-written and checked against the verified answer.

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