SOLUTION: A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall?

Algebra ->  Triangles -> SOLUTION: A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall?       Log On


   

Question 621688: A 15-foot ladder is leaning against a 30-foot wall. The bottom end of the ladder is 9 feet from the wall. How many feet above the ground does the ladder touch the wall?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A 15-foot ladder is leaning against a 30-foot wall. 

The bottom end of the ladder is 9 feet from the wall.

Applying the Pythagorean Theorem:  sqrt%2815%5E2+-+9%5E2%29+=+sqrt%28144%29+=+highlight%2812%29

 12 feet above the ground the ladder touches the wall