SOLUTION: The diagonal of a rectangle forms a 30 degree with one side of the rectangle. If the diagonal has measure 10, what is the area of the rectangle?
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Question 104134: The diagonal of a rectangle forms a 30 degree with one side of the rectangle. If the diagonal has measure 10, what is the area of the rectangle? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! The diagonal of the rectangle is the hypotenuse of a 30-60-90 degree triangle.
h=10
sin(30)=opp/10
opp=sin(30)*10=5
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cos(30)=adj/10
adj=cos(30)*10=8.66...
.
A=5*8.66...=43.3013 sq units
.
Ed
