su4mitsmorcelen su4mitsmorcelen

14-08-2016
Mathematics

Answered

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high above the ground is the top of the ladder? Round to the nearest tenth of a foot.

A.) 9.1 feet

B.) 11.6 feet

C.) 12.4 feet

D.) 153 feet

Verified Answer :

metchelle metchelle

16-08-2016

Using the pythagorean theorem: c^2 = a^2 + b^2

c = 12 feet
a = 3 feet
b = x feet

12^2 = 3^2 + x^2
144 = 9 + x^2
144 - 9 = x^2
135 = x^2
x = 11.6 feet

Therefore, the answer is B.

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