84.6k views
5 votes
A 25 foot ladder is placed against a building at a point 21 feet from the ground find the distance from the base of the building to the base of the ladder

User Katmoon
by
3.5k points

1 Answer

5 votes

Answer:

The distance from the base of the building to the base of the ladder is 13.56 feet.

Explanation:

This can be solved using Pythagorus theorem.

If the length of the ladder is taken as the hypotenuse and the distance from the building as the base of the triangle then the altitude can be found out by using

c²= a²+b²

Where c is the hypotenuse and b is the base and a is the altitude

Putting the values

25²= a²+ 21²

a²= 25²-21²

a²= 625-441

a²= 184

a= √184= 13.56 feet

The distance from the base of the building to the base of the ladder is 13.56 feet

User Imanol Luengo
by
3.5k points