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At the same time a 4-foot fencepost casts a 6-foot shadow, a cellular tower casts a 50-foot shadow. How tall is the cellular tower to the nearest tenth foot?

Respuesta :

if you do it on the caculator you get 60

The height of the cellular tower is 33.3 foot.

We have

The height of the fencepost = 4-foot

Length of the fencepost shadow = 6-foot

Length of the cellular tower shadow = 50 foot

Here, we have to find the height of the cellular tower.

Now, use proportionality sides of similar triangle.

height of the fencepost /Length of the fencepost shadow = height of the cellular tower/Length of the cellular tower shadow .

So,[tex]\frac{4}{6} =\frac{x}{50} \\x=\frac{50\times4}{6} \\x=33.3 foot[/tex]

Therefore the height of the cellular tower is 33.3 foot.

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