Answer:
0.034921 miles or 1843774 feet tall
Step-by-step explanation:
Using trigonometric functions we know that [tex]x=rcos(\theta)[/tex] and [tex]y=rsin(\theta)[/tex] where [tex]\theta[/tex]=angle and r is the hypotenuse of the triangle.
First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:
[tex]x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi[/tex]
Now we will calculate the height of the building using the y equation and so:
[tex]y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi[/tex]
The building is 0.034921 miles or approximately 184.3774 feet tall.
