Trig Problem Altitudes of Parallelogram

[Trepid]

Basically the altitudes of a parallelogram have two lengths, 8 and 10 and they intersect at an angle whose sine is 1/4. I'm attempting to find the area of the parallelogram.

I'm having trouble creating a good picture of it. Seeing if I could receive some help, thanks!

 

[berkeman]

Basically the altitudes of a parallelogram have two lengths, 8 and 10 and they intersect at an angle whose sine is 1/4. I'm attempting to find the area of the parallelogram.

I'm having trouble creating a good picture of it. Seeing if I could receive some help, thanks!

Welcome to the PF.

Is this for schoolwork? If so, you need to post it in the Homework Help, Pre-Calculus Math forum, and fill out the Template there showing the Relevant Equations and your Attempt at Solving it.

You can also upload a PDF or JPEG image by using the Upload button in the lower right of the Edit window.