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A ship H leaves a port P and sails 30 km due south. Then it ...

A ship H leaves a port P and sails 30 km due south. Then it sails 60km due west. What is the bearing of H from P?

A.

20o 34'

B.

243o 26'

C.

116o 34'

D.

63o 26'

E.

240o 56'

Correct answer is B

Let the bearing of H from P be represented by x°.

tanθ=3060=0.5

\theta = \tan^{-1} (0.5) = 26.565°

x = 180° + (90 - 26.565)

x = 180 + 63.435 = 243.435°

= 243° 26'