SOLUTION: A 25-foot ladder is leaning against a building. The base of the ladder is 7 feet from the side of the building. How high does the ladder reach along the side of the building?

Algebra ->  Triangles -> SOLUTION: A 25-foot ladder is leaning against a building. The base of the ladder is 7 feet from the side of the building. How high does the ladder reach along the side of the building?      Log On


   

Question 905143: A 25-foot ladder is leaning against a building. The base of the ladder is 7 feet from the side of the building. How high does the ladder reach along the side of the building?
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's a Pythagorean triangle.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 + b^2 = c^2

x^2 + 7^2 = 25^2

x^2 + 49 = 625

x^2 = 625 - 49

x^2 = 576

x = sqrt(576)

x = 24

The ladder reaches 24 ft up the wall.