Question

question 2
when constructing a building, rafters are used to support the roof. the rafter shown in the diagram has
the shape of an isosceles triangle. what is the height of the roof? ft

Explanation:

Step1: Use the property of isosceles triangle

Since the triangle is isosceles, \(RP = PQ=\frac{35}{2} = 17.5\) ft.

Step2: Apply Pythagorean theorem

In right - triangle \(NPQ\), by Pythagorean theorem \(NP=\sqrt{NQ^{2}-PQ^{2}}\). Substitute \(NQ = 37\) ft and \(PQ=17.5\) ft.

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Answer:

\(32.6\)