Answer:
UM = 17.09 ft
Step-by-step explanation:
Use the Sine Rule:
[tex]\frac{UL}{sin(M)} = \frac{LM}{sin(U)} = \frac{UM}{sin(L)}[/tex]
Use the 2nd and third expressions to equate (the angles are in degrees)
[tex]\frac{27}{sin(108)} = \frac{UM}{sin(37)}[/tex]
UM = 17.09 ft
