How do you calculate the height of an oblique cylinder given the slanted height and the slant angle?

Question

If an oblique cylinder has a slanted height of 12 mm and a slant angle of 50 degrees, what is the actual height of the object?

Answer 1

There is a right triangle that you have to imagine.

The slant height forms the hypotenuse.

One leg is the true height of the oblique cylinder.

The other leg isn't necessarily a part of they cylinder but connects the bottom of the slant height to the bottom of the true height.

In this triangle you know the length of the hypotenuse and the acute angle opposite the true height. This is the perfect time to write and solve a sine equation.

sin(50^°) = (true height) / (slant height)