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

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

A.

300o

B.

240o

C.

190o

D.

150o

Correct answer is A

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