Answer:
The height of the tower nearby the pole is 102 m.
Solution:
Given,
Height of the pole = 3.5 m
Length of the shadow of the pole = 1.47 m
Length of the shadow of the tower nearby = 42.75 m
Let us assume the height of the tower as x
[tex]\frac{height of the pole}{length of the shadow of the pole}=\frac{height of the tower}{length of the shadow of the tower}[/tex]
[tex]\frac{3.5}{1.47} = \frac{x}{42.75}[/tex]
On solving for x we get,
[tex]x = \frac{3.5}{1.47}\times 42.75[/tex]
[tex]x = 101.785 m[/tex]
On rounding off to the nearest meter we get,
x=102 m
[tex]\therefore[/tex] The height of the tower is 102 meter.
