18.7k views
2 votes
A 34-ft. ladder resting against the wall of a building forms a right triangle with the wall and ground. The bottom of the ladder is 8 ft. away from the base of the building. How far up the side of the building does this ladder reach?

2 Answers

0 votes

A 34-ft. ladder resting against the wall of a building forms a right triangle with the wall and ground. So this is one of the legs and equal 34 feet.

The bottom of the ladder is 8 ft. away from the base of the building. This is another leg and equal 8 feet.

You need to find the hypotenuse.

Using The Pythagorean Theorem:

c^2 = a^2 + b^2, where a and b are legs and c is hypotenuse

c^2 = 34^2 + 8^2

c^2 = 1156 + 64

c^2 = 1220

c = √1220

c = 34.93

Answer

The side of the building = 34.93 ft

User Simon Thordal
by
8.0k points
1 vote

Answer: 26 feet

Explanation:

User Omer Tuchfeld
by
7.6k points

No related questions found

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