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

Mathematics
WAEC 1997
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
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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
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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