SOLUTION: How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12- foot tall wall?

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Question 549188: How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12-
foot tall wall?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Imagine a right triangle in which the distance from the base of the ladder to the wall is its base and the ladder is its hypotenuse (c). The height (a) would be the 12 feet up the wall.
You need to find the the length of the base (b).
Use the pythagorean theorem:
c%5E2+=+a%5E2%2Bb%5E2 Solve for b.
b+=+sqrt%28c%5E2-a%5E2%29 Substitute c = 15 and a = 12
b+=+sqrt%2815%5E2-12%5E2%29
b+=+sqrt%28225-144%29
b+=+sqrt%2881%29
b+=+9feet.