Question

The angle of elevation e from A to B and the angle of depression d from B to A are given. Find the measure of each angle.I need help with problem number 20.

Answer 1

Let AB represent the height of an airplane flying.

As:

$\begin{gathered} 1mile=5280feet \\ \therefore50miles=50\times5280=264000feet \end{gathered}$

Using tangent of angles to solve for the measure of angles

$tan\theta=\frac{Perpendicular}{Base}$

where,

$\begin{gathered} Perpendicular=1000ft \\ Base=264000ft \end{gathered}$

Simplify

$\begin{gathered} tan\theta=0.037 \\ \theta=\tan^{-1}(0.037)=2.12^0\approx2^0(nearest\text{ degree\rparen} \end{gathered}$

Hence, the answer is

$\theta=2^0$