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

Question

Mathematics

Nikhil Stevens

8 February, 23:51

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

+5

Answers (1)

Know the Answer?

Charles · Answer 1

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.

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 feetB.) 11.6 feetC.) 12.4 feetD.) 153 feet

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