A man can row at 6 km/h, and run at 8 km/h. He needs to get from a point A, on the south bank of a stretch of still water, to point B on the north bank of the water. The direct distance from A to B is 10 km, and the water is 6 km wide. He starts rowing with an angle Θ between North and the direction in which he rows. Find an expression for the time he will take to get from A to B, in terms of Θ.


Please please help me with this question! Would be much appreciated. I have no idea where to start unfortunately.

Start with a diagram. Basically its a right angled triangle ACB of sides 6,8,10. Let D be the point where he rows to and so angle theta is angle CAD. Got that so far....then I'll walk you through the solution if you like.

If you search the Calculus subforum you will find many questions (with replies) of this type.

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