Question 763131
See the figure below.

{{{drawing (600,600,-10,10,-20,20, 
triangle(1,1, 7,1, 1,16),
locate(6,2,red(P=52)),
locate(3,12,blue(X)),
locate(4,1,blue(Y)),
locate(1,9,red(13.5)))
}}}

For the angle 52, 13.5 is the opposite side, Y is the adjacent side, X is the hypotenuse.

13.5/hypotenuse = 13.5/X = sin(52) = 0.788

So, Hypotenuse X = 13.5/0.788 = {{{highlight(17.132)}}}

Similarly, 13.5/Adjacent side = 13.5/Y = tan(52) = 1.28

Adjacent side = 13.5/1.28 = {{{highlight(10.55)}}}

:)