Mathematics

The diagram above is a triangle XYZ whose area is 23.5cm2. XY =1Ocm and YZ…

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: Option C
Explanation

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