Answer:
LK = 3.56
ML = 8.76
m∠L = 66°
Step-by-step explanation:
tan 24 = [tex]\frac{LK}{8}[/tex]
8 tan 24 = LK
LK = 3.56
cos 24 = [tex]\frac{8}{ML}[/tex]
ML cos 24 = 8
ML = [tex]\frac{8}{cos 24}[/tex] = 8.76
∠L and ∠M are complementary
m∠L + m∠M = 90
m∠L + 24 = 90
m∠L = 66°
Note: You need to learn the definitions of all the trig functions and then these types of problems are easy.
For example, Tan of an angle = oppside/adjacent side. OK?