# Trig

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If a plane takes off on runway 31 (N 31o W) and flies 4 miles, then makes a right (90o) turn and flies 11 miles, what bearing will the traffic controller use to locate the plane?

• Trig -

After making the first leg, the plane is at
(-4sin31°,4cos31°) = (-2.06,3.43)
From there, the plane flies at W31°S,
moving another (-11cos31°,-11sin31°) = (-9.43,-5.67),
ending up at (-11.49,-2.24)

The bearing is W11°S

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