Question

a 136 foot tall cell phone tower casts a 79.9 foot shadow. find the shadow length for a nearby 40 foot telephone pole

Answer 1

x = 40ft/23.5ft

Explanation:

`(136ft)/(79.9ft)` =
`(40ft)/(x)`

136x = 79.9 · 40

136x = 3196

136 ÷ 136 = 3196 ÷ 136

`(136ft)/(79.9ft)` =
`(40ft)/(23.5ft)`

Answer 2

Given :

A 136 foot tall cell phone tower casts a 79.9 foot shadow.

To Find :

The shadow length for a nearby 40 foot telephone pole .

Solution :

We know , the ratio of height and shadow , will be same for every object .

Let , length of shadow of pole is x .

So ,

`(79.9)/(136)=(x)/(40)\\\\x=(79.9* 40)/(136)\ foot\\\\x=23.5\ foot`

Therefore , the length of shadow of tower is 23.5 foot .

Hence , this is the required solution .