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An architect designs a house that is 12 m wide. The rafters holding up the roof are equal length and meet at an angle of 68°. The rafters extend 0.6 m beyond the supporting wall. How long are the rafters?

Hi - I was wondering if you could help me with this question. I'm not sure what they mean by rafters extending beyond the support wall and how I would be able to figure out the length if it extends.

  • Math -

    base of right triangle = 12/2 = 6 m
    angle at peak = 68/2 = 34 deg

    we need the hypotenuse then add .6 m to each rafter
    sin 34 = 6/L
    L = 10.7
    add .6
    11.3 meters per rafter

  • Math -

    Thank you for clarifying! Also appreciate how quickly you helped me. Very good math skills :)

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