Math CentralQuandaries & Queries


Question from Tina, a student:

An architect designs a house that is 12 m wide. The rafters holding up the roof are equal in length and meet at an angle of 70 degrees. The rafters extend 0.3 m beyond the supporting wall. How long are the rafters?

Hi Tina,

From what you describe I drew the diagram


The rafters are 0.3 m longer than the distance |RP|. What trig function related |RP|, |QR| and the measure of the angle RPQ?


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