Remember SOHCATOA ? s = opp/hyp therefore sin 45 = opp/hyp = z/(15 sqrt2) the sin of 45= sqrt2/2
sqrt2/2 = z/(15sqrt2)
( 15 sqrt2) * sqrt2/2 =z
z = 15
And the vertical line is also 15 (45 -90-45 triangle)
The top unlabeled angle is 30
tan 30 = opp/adj = y/15 tan30 = (sin30/cos30) = 1/2 / sqrt3/2 = 1/sqrt3
1/sqrt3 = y/15
y = 1/sqrt3 * 15 =~ 8.66
See if you can find x you can use pythagorean theorem or a trig function sin cos or tan.....