Answer:
The height of the tower is 60 feet.
Step-by-step explanation:
Given,
The vertical pole 12 feet high casts a shadow 8 feet long on the ground.
So, the ratio of the height of pole and height of its shadow = [tex]\frac{12}{8}[/tex]
Also, at the same time the tower casts a shadow of 40 feet long on the ground,
Let x be the height of the tower,
⇒ The ratio of the height of tower and height of its shadow = [tex]\frac{x}{40}[/tex]
Since, at the same time,
[tex]\frac{12}{8}=\frac{x}{40}[/tex]
[tex]480=8x[/tex] ( By cross multiplication )
[tex]60=x[/tex] ( Dividing both sides by 8 )
Hence, the height of the tower is 60 feet.
