Explanation:
It is asking for length between Q and R, L and N, and the P and M angles
LN= x^2 + 6^2 = 11.6^2 -> x^2= 134.56-36 -> 98.56^1/2 = x -> 9.93
QR= sin45= op/hip = 0.7=8.5/h = 12.14
(Hope it helps with half of it, I don't remember the formulas for angles and lengths for triangles with only one angle)