WAEC - Mathematics (1997 - No. 18) | ExamPlay

WAEC - Mathematics (1997 - No. 18)

The diagram above is a triangle XYZ whose area is 23.5cm². XY =1Ocm and YZ = 8cm, calculate θ correct to the nearest degree.

34^o

35^o

36^o

37^o

40^o

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 = 36^o

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