# Fighting the wind

A boat is trying to sail against the wind like in the picture. The wind blows from the North with $${v}_\text{wind}=10\text{ ms}^{-1}$$. The keel direction makes the angle $$\alpha ={{30}^{\circ }}$$ with the West-East line. Between the sail and the keel direction is the angle $$\beta={{30}^{\circ }}$$. What is the speed of the boat relative to the water in $$\text{m/s}$$?

Assume there is no friction or drag.

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