Answer:
555
Explanation:
The scenario is shown in the image attached below. A Right Angled Triangle is formed. We have an angle of 6 degrees, the side adjacent to angle which measures 1 mile and we need to find the side opposite to the angle.
Since 1 mile = 5280 feet, the side adjacent to the angle has a measure of 5280 feet.
Tangent ratio relates the opposite and adjacent side by following formula:
[tex]tan(\theta)=\frac{Opposite}{Adjacent}[/tex]
Using the given values, we get:
[tex]tan(6)=\frac{x}{5280}\\\\ x=tan(6) \times 5280\\\\ x = 555[/tex]
Thus, rounded to nearest foot, the height of the building is 555 feet
