SOLUTION: the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]

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Question 939477: the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
the diagonal of a rectangle makes an angle of 48(degree) with its smaller side.if the length of the smaller side is 16cm. what is length of bigger side? [sin48(degree)=0.743]
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Draw the picture so you can see what you are doing.
Note: The diagonal forms two right triangles.
48 deg is the size of the base acute angle formed by the base
and the diagonal.
tan(48) = 1.11 so the base must be the smaller side (16 cm)
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Ans: longer side = 16*1.11 = 17.76 cm
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Cheers,
Stan H.
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