Answer:
The angle of elevation is 20.806° .
Step-by-step explanation:
Given as :
The height of the station = 700 meter
The distance from the base of tower = 1800 meter
Let the angle of elevation = Ф
Now,
∵ Tan Ф = [tex]\dfrac{\text perpendicular}{\textrm Base}[/tex]
So, Tan Ф = [tex]\dfrac{\text opposite measure}{\textrm Base measure}[/tex]
Or, Tan Ф = [tex]\dfrac{\textrm 700 m}{\textrm 1800 m}[/tex]
Or, Tan Ф = 0.38
∴ Ф = [tex]Tan^{-1}(0.38)[/tex]
I.e Ф = 20.806°
Hence The angle of elevation is 20.806° . Answer
