An architect designs a house that is 10 m wide. The rafters holding up the roof are equal length and meet at an angle of 65 degrees

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An architect designs a house that is 10 m wide. The rafters holding up the roof are equal length and meet at an angle of 65 degrees. The rafters extend 0.4 m beyond the supporting wall. How long are the rafters?

Answer:

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i drew a vertical line down the middle, splitting the 65 degrees into two 32.5 degree angles. now we have two right triangles with a known angle of 32.5 and opposite side of 5 meters (half of the 10 m width). the length of the rafter is .4m + the hypotenuse of the right triangle, which is 5.657m because sine=opposite/hypotenuse