The diagram above is a triangle XYZ whose area is 23.5cm

^{2}. XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.-
**A.**

34^{o} -
**B.**

35^{o} -
**C.**

36^{o} -
**D.**

37^{o} -
**E.**

40^{o}

##### 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 210 x 8

= 0.5875

θ = sin^{-1} 0.5875 = 36^{o}