The diagram above is a triangle XYZ whose area ... - WAEC Mathematics 1997 Question
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
correct option: c
Area = 1/2 x y x yz sinθ
23.5 = 1/2 x 10 x 8 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
θ = sin-1 0.5875 = 36o
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