Velocity

A rat is at a position R and a snake is at S in the field as shown below. The moment the rat starts running uniformly in a direction making an angle of 20 degree with the line RS, the snake moves to catch its prey. If the snake catches the rat in the shortest time, moving at half the uniform speed of the rat, what is the direction Ó¨ of the snake with the line RS (given cos 70 degree = 0.3420) ?

please post the full solution
thanks in advance...

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