A barn is 30ft. wide by 60ft long; the rafters make an angle of 40degrees with the horizontal. Find the area of each of the two gable ends and the area of the roof.


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1 answer

at each end, you have a triangle with base 15, and a height 15tan40°=12.58

so, each end has an area of 1/2 * 15 * 12.58 = 94.35

each half of the roof is 60 x 15sec40° = 60x19.58 = 1174.87