Avertical pole 12 feet high casts a shadow 8 feet long on the ground. at the same time, a nearby tower casts a 40 feet long shadow on the ground. what is the height of the tower?

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 =

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 =

Since, at the same time,

                 ( By cross multiplication )

                     ( Dividing both sides by 8 )

Hence, the height of the tower is 60 feet.

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step-by-step explanation:

the quadrant is facing upwards