Given:
Distance between the person and building is 164 ft.
The angle measures from the ground to the top of a building 21 degrees.
To find the height of the building:
Here, Opposite side is the height of the building
The adjacent side is the horizontal distance.
Using the trigonometry ratio,
[tex]\begin{gathered} \tan \theta=\frac{Opp}{\text{Adj}} \\ \tan 21^{\circ}=\frac{h}{164} \\ h=164\tan 21^{\circ} \\ h=62.9537 \\ h\approx62.95\text{ ft} \end{gathered}[/tex]Hence, the height of the building is, 62.95 ft.
