SOLUTION: A 25 foot ladder is leaned against a wall so that the ladder reaches a height of 7 feet on the wall. How far from the wall will the other end of the ladder be?

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Question 106304: A 25 foot ladder is leaned against a wall so that the ladder reaches a height of 7 feet on the wall. How far from the wall will the other end of the ladder be?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The ladder against the wall makes a right triangle.
The hypotenuse, H, is the ladder length, 25 feet.
One side of the triangle, L%5B1%5D is 7 feet.
What is the other length, L%5B2%5D?
From Pythagorean theorem,
L%5B1%5D%5E2%2BL%5B2%5D%5E2=H%5E2
7%5E2%2BL%5B2%5D%5E2=25%5E2
49%2BL%5B2%5D%5E2=625
L%5B2%5D%5E2=576
L%5B2%5D=14
The ladder will be 14 feet away from the wall.
You probably want to move it a little closer before you take that first step.