Consider the diagram below, with \(\angle ABC = \angle ACD = \angle DEA = 90^{\circ}\) , as well as \(AB = 12, BC = 9, AD = 25\) and \(AE=24 \) :

What are

\(\sin(\angle BAC), \sin(\angle BAD), \sin(\angle CAE),\)

in that order?

I answered thie question very recently.

Go find it.