Answer:
[tex]184.38\ ft[/tex]
Step-by-step explanation:
we know that
In a right triangle the tangent function of an angle [tex]\theta[/tex] is equal to divide the opposite side to the angle [tex]\theta[/tex] by the adjacent side to the angle [tex]\theta[/tex]
In this problem we have
[tex]\theta=2\°[/tex]
[tex]adjacent\ side=5,280\ ft[/tex]
Let
h-----> the opposite side to the angle [tex]\theta[/tex] (represent the height)
so
[tex]tan(2\°)=h/5,280[/tex]
[tex]h=5,280*tan(2\°)=184.38\ ft[/tex]
see the attached figure to better understand the problem
