Answer:
Step-by-step explanation:
Considering the given triangle LUM, to determine UM, we would apply the sine rule. It is expressed as
a/SinA = b/SinB = c/SinC
Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle. Likening it to the given triangle, the expression becomes
UM/SinL = UL/SinL = ML/SinU
Therefore
UM/Sin 37 = 27/Sin 108
Cross multiplying, it becomes
UMSin108 = 27Sin37
0.951UM = 27 × 0.602
0.951UM = 16.254
UM = 16.254/0.951
UM = 17.1 ft
