Asked by Lil

A ladder leans against a house at a 60° angle to the ground. If the ladder extends to a length of 166 inches, what is the height of the house to the nearest hundredth of an inch?

Answers

Answered by Steve
No idea. Does the ladder reach the roof? If so, and it does not extend beyond the edge of the roof (see how poorly posed the problem is?)

sin60° = height/length

height = 0.866 * 166 = 143.76 in.
Answered by Kianjah
A ladder leans against a house at a 60° angle to the ground.

House with a ladder measuring 166 inches forming a right triangle. The base angle formed by the ladder is 60 degrees.

If the ladder extends to a length of 166 inches, what is the height of the house, rounded to the nearest hundredth of an inch?
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