Question

question
if you place a 36 - foot ladder against the top of a building and the bottom of the ladder is 32 feet
from the bottom of the building, how tall is the building? round to the nearest tenth of a foot.
answer attempt 1 out of 2
ft
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Explanation:

Step1: Apply Pythagorean theorem

Let the height of the building be \(h\). According to the Pythagorean theorem \(a^{2}+b^{2}=c^{2}\), where \(c = 36\) (length of the ladder) and \(a=32\) (distance from the bottom of the ladder to the building). So \(h^{2}+32^{2}=36^{2}\).

Step2: Solve for \(h\)

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Answer:

\(16.5\)