The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.
A.
34o
B.
35o
C.
36o
D.
37o
E.
40o
Correct answer is C
Area = 1/2 x y x yz sinθ
23.5 = 1/2 x 10 x 8 sinθ
sinθ =
23.5 x 210 x 8
= 0.5875θ = sin-1 0.5875 = 36o