Question

If the boy is 5' 6" tall and his shadow is 4 ft. and the shadow of the flagpole is 18 ft., determine the height of the flagpole (to the nearest tenth).

Answer 1

Its 24.8 on odyssey

Explanation:

Answer 2

The height of flagpole (to the nearest tenth) is, 24.7 ft

Explanation:

Let x be the height of the flagpole.

Given: Height of the boy is 5' 6" , the length of the shadow of boy = 4 ft and the shadow of length of flagpole is 18 ft.

Use conversion: 1 ft = 12 in

Now, convert the height of the boy from feet and inches to feet, using above conversion.

5' 6" =
`5' 6`

Now, we write the ratio of the height and the length as:

`(Height of the boy)/(Length of shadow of boy) = (Height of the flagpole)/(Length of shadow of flagpole)`

then;

`(5.5)/(4) = (x)/(18)`

Multiply both sides by 18 we get;

`(5.5)/(4)* 18= (x)/(18) * 18`

Simplify:

`x = (99)/(4) = 24.75 ft`

Therefore, the height of flagpole to the nearest tenth is, 24.7 ft