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A yacht is sailing through water that is flowing due west at 2m/s. The velocity of the yacht relative to the water is 6m/s due south. The yacht has a resultant velocity of V m/s on a bearing of theta. Find V and theta

First we make a sketch of the situation. Then we notice that V can be found by using Pythagoras. Finally, we find theta using the definition of a tan.

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A yacht is sailing through water that is flowing due west at 2m/s. The velocity of the yacht relative to the water is 6m/s due south. The yacht has a resultant velocity of V m/s on a bearing of theta. Find V and theta

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