Fighting the wind

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

Assume there is no friction or drag.


The answer is 10.

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