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X is a point due east of point Y on a coast: Z is another...

Mathematics
JAMB 1992

X is a point due east of point Y on a coast: Z is another point on the coast but 6√3km due south of y.

If the distance XZ is 12Km. Calculate the bearing of Z from X

  • A. 240o
  • B. 210o
  • C. 150o
  • D. 60o
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Correct Answer: Option B
Explanation

Using sinØ = \(\frac{6√3}{12}\) →  \(\frac{√3}{2}\)

sinØ = \(\frac{√3}{2}\) or 60°

The bearing of  Z from X = [270 - 60]° → 210°


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