A10-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 126-ft shadow. how tall is the cell phone tower?

The cell phone tower is 1260 feet tall

Solution:

Given that 10-ft vertical post casts a 12-in shadow

At the same time a nearby cell phone tower casts a 126-ft shadow

To find: height of cellphone tower

We can use proportion to solve the sum

Here,

Let "x" be the height of tower

height of post = 10 feet

shadow of tower = 126 feet

shadow of post = 12 inches

We know that,

1 inches = 0.0833333 foot

12 inches = 12 x 0.0833333 foot = 1 foot

shadow of post = 1 foot

Thus the proportion becomes,

Thus the cell phone tower is 1260 feet tall

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step-by-step explanation: