Question

the base of a 10 - foot ladder is 5 feet from a building. if the ladder reaches the

the height of the building is ( 5sqrt{3} ) ft.
(simplify your answer. type an exact answer, using radicals as needed.)

the height of the building is approximately (square) ft.
(round to the nearest tenth as needed.)

Explanation:

Step1: Calculate the approximate value of \(\sqrt{3}\)

We know that \(\sqrt{3}\approx1.732\)

Step2: Multiply by 5

Since the height is \(5\sqrt{3}\), then \(5\times1.732 = 8.66\)

Step3: Round to the nearest tenth

\(8.66\approx8.7\)

Answer:

\(8.7\)