9
QuizMultiple Choice

Unknown Leg Lengths in Right Triangles

Question 9 • FL-1200700-Mathematics for College Algebra MIS

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
4.1 feet
B
17.0 feet
C
20.6 feet
D
21.4 feet

Explanation

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

AI-written and checked against the verified answer.

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