SOLUTION: I can not figure this out!! The base of a ladder is 15 feet away from the wall. The top of the ladder is 16 feet from the floor. Find the length of the ladder to the nearest t

Algebra ->  Radicals -> SOLUTION: I can not figure this out!! The base of a ladder is 15 feet away from the wall. The top of the ladder is 16 feet from the floor. Find the length of the ladder to the nearest t      Log On


   



Question 181913: I can not figure this out!!
The base of a ladder is 15 feet away from the wall. The top of the ladder is 16 feet from the floor. Find the length of the ladder to the nearest thousandth.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I can not figure this out!!
The base of a ladder is 15 feet away from the wall. The top of the ladder is 16 feet from the floor. Find the length of the ladder to the nearest thousandth.
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The wall and the ground make a right angle, so use Pythagoras. The ladder is the hypotenuse.
h%5E2+=+15%5E2+%2B+16%5E2
h%5E2+=+481
h = 21.932 feet
That's an accurate length for a ladder, and it's in a dangerous position against the wall at that angle.