SOLUTION: a 10 foot ladder is leaning against a house. The bottom of the ladder is 5 feet from the building. how high is the top of the ladder? round to the nearest hundredth.

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Question 377673: a 10 foot ladder is leaning against a house. The bottom of the ladder is 5 feet from the building. how high is the top of the ladder? round to the nearest hundredth.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Let x represent how high is the top of the ladder

Applying the Pythagorean Theorem

5^2 + x^2 = 10^2

25 + x^2 = 100

x^2 = 75

x+=+sqrt%2875%29+=+sqrt%2825%2A5%29+=+5+sqrt%285%29ft (positive solution only appropriate here)

x = 11.18 ft, how high the top of the ladder is