The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.
Attached Figure / Diagram
A
34o
B
35o
C
36o
D
37o
E
40o
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Area = 1/2 x y x yz sinθ
23.5 = 1/2 x 10 x 8 sinθ
sinθ = 23.5 x 2/10 x 8 = 0.5875
θ = sin-1 0.5875 = 36o
Source: Myschool Past Questions Archive (Record #23871)