Height of the tower = 101.9 m
Solution:
Given data:
Angle θ = 27°
Adjacent side = 200 m
Opposite side = Height
Let height be taken as h.
The given image shows it is a right triangle.
Using basic trigonometric ratio formulas,
[tex]$\tan \theta=\frac{\text { Opposite side of } \theta}{\text { Adjacent side of } \theta}[/tex]
[tex]$\tan27^\circ =\frac{{ h}}{200}[/tex]
The value of tan 27° = 0.5095
[tex]$0.5095 =\frac{{ h}}{200}[/tex]
Do cross multiplication, we get
0.5095 × 200 = h
101.9 = h
Height of the tower = 101.9 m
