ideksky
contestada

If a boy is 5 ft. tall and his shadow is 4 ft. and the shadow of a flagpole is 16 ft., determine the height of the flagpole.

Respuesta :

tdpuppies14
With the boy's given height and shadow length, we can set up a proportion.

height/shadow = 5/4
We can represent the height of the flagpole with the variable x.
5/4 = x/16
cross multiply
4x = 80
x= 20

The height of the flagpole is 20 ft.

Answer:

The height of the flagpole is, 20 ft

Step-by-step explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

If a boy is 5 ft. tall and his shadow is 4 ft. and the shadow of a flagpole is 16 ft.,

height of a boy = 5 ft

Shadow of a boy = 4 ft

Shadow of the flagpole = 16 ft

let height of the flagpole be h

then by definition we have;

[tex]\frac{\text{height of a boy}}{\text{Shadow of a boy}}=\frac{\text{height of the flagpole}}{\text{Shadow of the flagpole}}[/tex]

Substitute the given values we have;

[tex]\frac{5}{4} = \frac{h}{16}[/tex]

By cross multiply we have;

[tex]80 = 4h[/tex]

Divide both sides by 4 we have;

[tex]20 = h[/tex]

or

h = 20 ft

Therefore, the height of the flagpole is, 20 ft