The angle of elevation to the top of a building in New York is found to be 19 degrees from the ground at a distance of 1 mile from the base of the building. Using this information, find the height of the building. (Round your answer to four decimal places.)

Respuesta :

Answer:

1818.0498 feet

Step-by-step explanation:

The angle of elevation to the top of a building in New York is found to be 19 degrees from the ground at a distance of 1 mile from the base of the building.

the angle of elevation is 19 degree

base is 1 miles

1 mile =5280 feet

it forms a right angle triangle . Let x be the height of the building

[tex]tan(theta)=\frac{opposite}{adjacent} \\tan(19)=\frac{x}{5280} \\x=5280 \cdot tan(19)= 1818.05[/tex]

height of the building is 18.18.0498 feet