According to the question ∠ACB= three-thirds ∠BAC. . So ∠ ACB = 5 1, so ∠ABC is 95. Make a true west vertical line through B 95-90 = 5 ~ So the lighthouse C measured at B should be 5 ... I feel it has nothing to do with the driving distance. . For reference only!

Because ∠ACB= three-thirds ∠BAC and ∠ BAC = 34, ∠ ACB = 5 1.

∠ABC = 180-(∠ACB+∠BAC)= 105

The lighthouse angle c measured at b =180-∠ ABC = 85.

So the answer is c, 85 degrees west of north.

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