# trig HELP

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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.

Please Include Solution And If Possible An Illustration. Thank You In Advance :)

• trig HELP -

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

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