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03-04-2018
Mathematics

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The sides of a parallelogram are 8in. And 10in. If it’s shorter altitude is 4in., find its longer altitude.

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wolf1728 wolf1728

03-04-2018

See attached graphic.
The sine of angle a = 4/8 = .5
angle a = arc sine (.5) = 30 degrees
angle b = angle a = 30 degrees
sine (angle b) = sine (30) = .5
sine (b) = opposite / hypotenuse = long diagonal / 10
.5 = long diagonal / 10
long diagonal = 5

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