what are the lengths of a right triangle in witch one acute angle measures 19 degrees and the hypotenuseis 15 unites long

I don't have the right calculator, but you use sin, cos, tan of the angles. If it is a right triangle, you have angles if 90, 19, and so the other angle would be 71.

Sin is O/H, COS is A/H, TAN is O/A

(Opposite, Hypotenuse, Adjacent)