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In the diagram, < WOX = 60o, < YOE = 50o and < OXY =...

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Mathematics WAEC 2010

In the diagram, < WOX = 60o, < YOE = 50o and < OXY = 30o. What is the bearing of x from y?

  • 300o checkmark
  • 240o
  • 190o
  • 150o

The correct answer is: A

Explanation

The bearing of x from y = 270o + \(\theta\)

where \(\theta\) + 50o = y

in \(\bigtriangleup\) OXY

O + X + Y = 180o

Where O = 40o + 30o = 70o

70o + 30o + y = 180o

y + 100o = 180o

y = 180o - 100o = 30o

\(\theta\) + 50o = 80o

80o - 50o = 30o

The bearing of x from y = 270o + 30o = 300o
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