Answer:
The height of the tower is approximately 95.263 feet
Step-by-step explanation:
The given parameters are;
The distance from the foot of the tower where the angle of elevation is measured = 55 feet
The angle of elevation to the top of the tower from a point 55 feet from the foot of the tower, θ = 60°
Therefore, by trigonometric ratio, we have;
[tex]tan(\theta )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{The \ height \ of \ the \ tower}{Distance \ from \ foot \ of \ tower}[/tex]
Therefore, we have;
[tex]tan(60 ^{\circ} ) = \dfrac{The \ height \ of \ the \ tower}{55 \ feet}[/tex]
The height of the tower = 55 feet × tan (60°) = 55 × √3 feet ≈ 95.263 feet.
