Answer: A. 104.82 feet
Step-by-step explanation:
You can observe in the figure a right triangle, where the height of the building is "x".
You need to use the identity:
[tex]tan\alpha=\frac{opposite}{adjacent}[/tex]
You can identify in the figure that:
[tex]opposite=x\\adjacent=2,000\\\alpha=3\°[/tex]
Then, you can substitute these values into [tex]tan\alpha=\frac{opposite}{adjacent}[/tex]:
[tex]tan(3\°)=\frac{x}{2,000}[/tex]
Solve for x:
[tex]x=(2,000)(tan(3\°)\\x=104.815[/tex]
Therefore, the height of the building to the nearest hundredth foot is:
104.82 feet
