3 A ship travels through water that is moving due east at a speed of $1.4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The ship travels due north relative to the water at a speed of $7 \mathrm {~ms} ^ { - 1 }$. The resultant velocity of the ship is $V \mathrm {~m} \mathrm {~s} ^ { - 1 }$ on a bearing $\alpha$.

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Velocity of the\\
water}
  \includegraphics[alt={},max width=\textwidth]{cb5001b1-1744-439f-aa35-8dd01bc90421-2_387_391_2069_653}
\end{center}
\end{figure}

\begin{figure}[h]
\begin{center}
\captionsetup{labelformat=empty}
\caption{Velocity of the ship relative to the water}
  \includegraphics[alt={},max width=\textwidth]{cb5001b1-1744-439f-aa35-8dd01bc90421-2_214_167_2165_1334}
\end{center}
\end{figure}
\begin{enumerate}[label=(\alph*)]
\item $\quad$ Find $V$.
\item Find $\alpha$, giving your answer as a three-figure bearing, correct to the nearest degree.
\end{enumerate}

\hfill \mbox{\textit{AQA M1 2013 Q3 [5]}}