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QuizMultiple Choice

Unknown Leg Lengths in Right Triangles — Quiz

Question 1 • Foundations of Math 1

Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet. Expand Image [Not drawn to scale] What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.

Answer
A
7 point 0 feet
B
11 point 5 feet
C
14 point 3 feet
D
8 point 5 feet

Explanation

Fahim’s height and his shadow form the two perpendicular sides of a right triangle, and the 13-foot distance is the hypotenuse. By the Pythagorean theorem, the shadow length is √(13² − 6²) = √133 ≈ 11.5 feet. The correct choice is 11.5 feet.

AI-written and checked against the verified answer.

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