Question

2.

1. A 6-foot tall observer casts a 3.5-foot shadow

at the same time a silo casts a 49-foot shadow.

How tall is the silo?

Answer 1

x = 84ft

Explanation:

6ft/3.5ft = x/49ft

3.5x = 6 x 49

3.5x = 294

3.5x ÷ 3.5 = 294 ÷ 3.5

6ft/3.5ft = 84ft/49ft

Answer 2

The height of the Silo is 84 ft

∴
`h_s=84ft`

Explanation:

Given that a 6-foot tall observer casts a 3.5-foot shadow at the same time a silo casts a 49-foot shadow.

To find the height of the Silo:

We can solve this by setting up a ratio comparing the height of the Silo to the height of the observer and shadow of the Silo to the shadow of the observer.

Let
`h_(s)=x ft` be height of the Silo

`s_s=49ft` shadow of the Silo

`h_o=6ft` height of the observer

`s_o=3.5ft` shadow of the observer

Now we have
`(h_s)/(s_s)=(h_o)/(s_o)`

Substitute the values we get

`(x)/(49)=(6)/(3.5)`

`x=(6* 49)/(3.5)`

`=(294)/(3.5)`

`x=84`

∴
`h_s=84ft`

∴ the height of the silo is 84 ft