Question

fahim is 6 feet tall. at noon, he stands with the sun behind him casting a shadow. the distance from the top of fahims head to the furthest tip of the shadow is 13 feet.

what is the length of fahims shadow? round to the nearest tenth of a foot.

7.0 feet
8.5 feet
11.5 feet
14.3 feet

Explanation:

Set up the Pythagorean equation

$$ 6^2 + s^2 = 13^2 $$

Solve for the shadow length s

$$
LATEXBLOCK0
$$

Round to the nearest tenth

$$ s \approx 11.5\text{ feet} $$

Answer:

• (A) 7.0 feet
• (B) 8.5 feet
• (C) 11.5 feet (Correct answer)
• (D) 14.3 feet