SOLUTION: what is the area of a parallelogram whose sides are 20 inches and 45 inches one of the angles is 30 degrees?

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Question 942182: what is the area of a parallelogram whose sides are 20 inches and 45 inches one of the angles is 30 degrees?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the area of a parallelogram whose sides are 20 inches and 45 inches one of the angles is 30 degrees?
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Draw the picture.
Let the 30 degree angle be in the lower left corner.
Form a right triangle with 20 as its hypotenuse and
height of the parallelogram as the side opposite
the 30 degree angle.
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Solve for the height using
sin(30) = height/hypotenuse
1/2 = height/42
height = (1/2)42 = 21
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Ans:: Area = base*height of the parallelogram.
Area = 45*21 = 945 sq inches
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Cheers,
Stan H.
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