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X is due east point of y on a coast. Z is another point on the...

Mathematics
JAMB 2021

X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X

  • A. 240°
  • B. 150°
  • C. 60°
  • D. 270°
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Correct Answer: Option A
Explanation

Sinθ = \(\frac{6}{12}\)

Sinθ = \(\frac{1}{2}\)

θ =  Sin\(^0.5\)
θ = 30°

Bearing of Z from X, (270 - 30)° = 240°

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free