Answer
The height of the tower is\[2059\text{ feet}\].
Work Step by Step
The Angle of elevation in respect to an object as seen by the respective observer is the angle which is between the horizontal and a line from the concerned object to the eye of the observer.
Let the height of the tower is\[h\]. Compute the height of the tower using the trigonometric function of a tangent as follows:
\[\text{Tan}\theta =\tfrac{\text{Side opposite to angle}}{\text{Side adjacent to angle}}\]
\[\begin{align}
& \text{Tan}21.3{}^\circ =\tfrac{h}{5280} \\
& 0.38988=\tfrac{h}{5280}
\end{align}\]
On multiplying both sides by\[5280\], we get
\[\begin{align}
& h=0.38988\times 5280 \\
& =2059\text{ feet}
\end{align}\]
