SOLUTION: THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 340883: THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
THe bottom of a 25ft ladder leaning against a house is 7ft from the house. If the ground is level, how high on the house does the ladder reach?
---
Draw the picture.
You have a right triangle with hypotenuse = 25
and base = 7.
---
Use Pythagoras to find the height.
height^2 = hypotenuse^2 - base^2
---
h^2 = 25^2-7^2
h^2 = 576
h = 24 ft.
============
Cheers,
Stan H.