Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 782: 67

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}

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