Question

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.

A right triangle with side length 6 feet, s, and hypotenuse 13 feet.
[Not drawn to scale]

What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet

Answer 1

C 11.5

Explanation:

Have a great day!

Answer 2

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth