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# A ship travelling at $39.0 \mathrm{~km} / \mathrm{h}[\mathrm{N}]$ across the St. Lawrence Seaway encounters a current of $13.0 \mathrm{~km} / \mathrm{h}\left[\mathrm{E} 50.0^{\circ} \mathrm{N}\right]$. What is the velocity of the ship with respect to the shore? (a) $48.4 \mathrm{~km} / \mathrm{h}\left[\mathrm{E} 78.1^{\circ} \mathrm{N}\right]$ (b) $48.4 \mathrm{~km} / \mathrm{h}\left[\mathrm{E} 11.9^{\circ} \mathrm{N}\right]$ (c) $49.7 \mathrm{~km} / \mathrm{h}\left[\mathrm{E} 80.3^{\circ} \mathrm{N}\right]$ (d) $49.7 \mathrm{~km} / \mathrm{h}\left[\mathrm{E} 9.7^{\circ} \mathrm{N}\right]$

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In this problem, we have a ship which is travelling at 39 kilometers per hour to the north. It encounters a current of 13 kilometers per hour, which direction is east 50$\degree$ north. What we need to do here is to determine the velocity of the ship with respect to the shore.

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