Vectors Question - Direction and Speed Problem: > A skiff leaves a dock and heads toward a house across the river. The house is at a bearing of $\mathrm{N}\,64^{\circ}\mathrm{E}$ from the dock. There is a $1$ mile per hour current blowing due east. Determine the speed and direction the skiff would have to maintain so that the skiff's actual speed is $4$ miles per hour and moving directly towards the house. I know you can solve this with vectors and using trigonometry, but how would I do this?

## Hint:

Firstly, the question asks that the skiff must move _directly_ towards the house and for this to happen the current would need to be flowing due **west** , as this would then make sense as the westbound current will offset the eastward component of the skiff such that it travels in a straight line. So confirmation is needed on whether the direction of the current is due east or due west.

Otherwise we have:

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