Chapter 8.6, Problem 16WE

To determine

How much altitude does the jet gain when it moves $1km$ through air.

Answer to Problem 16WE

The altitude of the jet is $350m$ after it moves $1km$ through the air

Explanation of Solution

Given information:

Jet is capable of steady ${20}^{\circ }$ climb as shown in figure

From the right angle triangle diagram, we observe that the altitude of get is equal to perpendicular of the triangle.

From sine rule, $\sin \left({20}^{\circ }\right)=\frac{\text{perpendicular}}{\text{hypotenuse}}$

  $\begin{array}{l}\Rightarrow \text{perpendicular=0}.34202km\\ \therefore \text{perpendicular=}342.02m\end{array}$

Hence, to the nearest $50m$ , the altitude of the jet is $350m$ after it moves $1km$ through the air.