SOLUTION: if the foot of a 13-meter ladder is placed 6 meters from the base of a building, how high up the building will the ladder reach?

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Question 240244: if the foot of a 13-meter ladder is placed 6 meters from the base of a building, how high up the building will the ladder reach?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Use Pythagorean theorem.
The 13 meter ladder will be the hypotenuse, one leg is 6 meters. You are asked to find the other leg
a%5E2+%2B+b%5E2+=+c%5E2 Pythagorean theorem
6%5E2+%2B+b%5E2+=+13%5E2
36+%2B+b%5E2+=+169
b%5E2+=+133
b+=+sqrt%28133%29
b+=+11.53+ meters