Answer: Q = 35, PR = 12.62, QR = 18.02
Step-by-step explanation:
Find Q
Sum of angles in a triangle is 180
So 180 = Q + R + P
180 - R - P = Q
we given P = 55 and R = 90
so 180 - 55 - 90 = 35
Q = 35
Find PR
we have hypotenuse QP = 22, and an angle P = 55
PR is adjacent to angle P, thus we can use cos ratio, cos x = H / A
so A = cos(x) * H
PR = cos(55) * 22
PR = 12.62
Find QR
QR is opposite to angle P, thus we can use sin ratio, sin x = H/O
So O = sin(x) * H
QR = sin(55) * 22
QR = 18.02