Answer:
LN = 4.326
Step-by-step explanation:
dropping a perpendicular from point k to LM
call that point on line LM, point X
angle KLM = 47 degrees so angle NKL = 28 degrees
sin 47 = KX/8.9
KX = 6.509
angle LKX = 90-47-28 = 15 degrees
tan 15 = XN/6.509
XN = 1.744
cos 47 = XL/8.9
XL = 6.070
XL-XN=LN
LN = 6.070-1.744 = 4.326
