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A boat is moving with uniform velocity $$v_b = 20 m/s$$ pulling a water skier with the help of a tug-rope of length $$l = 10 m$$. To increase his speed the water skier tilts the skies slightly away from the direction of motion of the boat. As he does so, the tug rope rotates. What is the speed $$v_s$$ of the skier with respect to the ground and angular velocity $$\omega$$ of the rope, when $$\theta=30^o$$ and $$\phi=60^o$$?

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