Answer
The value of the components of the vector is $148.5\text{i}+20.9\text{j}$.
Work Step by Step
Speed of the plane approaching a runway $=150$ miles per hour.
The angle that the plane makes with the horizontal $=8{}^\circ $.
The vector component along the x-axis or horizontal is i and the vector component along the y-axis or the vertical direction is j.
Therefore, the equation becomes
$\begin{align}
& v=\left| \left| v \right| \right|\cos \theta \text{i}\,+\,\left| \left| v \right| \right|\sin \theta \text{j} \\
& =150\cos 8{}^\circ \text{i}\,+150\sin 8{}^\circ \text{j} \\
& =148.5\text{i}\,+20.9\text{j}
\end{align}$
