Question

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

I really need someone to help me with this. Thanks

Answer 1

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