Question

The frame of a roof is shown. How long is each of the top pieces?

Answer 1

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Answer:

4√3 ft ≈ 6.93 ft

Explanation:

The ratios of side lengths in a 30-60-90 triangle are 1 : √3 : 2. This means ...

x/(6 ft) = 2/√3

x = (6 ft)(2/√3) = (6 ft)(2√3)/3

x = 4√3 ft

The top pieces are 4√3 ≈ 6.93 ft long.