233k views
2 votes
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

User Shequana
by
8.5k points

2 Answers

1 vote

Answer:

11.5 feet

Explanation:

Fahim been drinkin up on tht pediasure ain he.

User Designermonkey
by
7.7k points
3 votes

Answer: 11.5 feet

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

User Paul Grime
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories