Question

Use the diagram below to determine the height of the flagpole

Answer 1

The height of the flagpole is 12 feet.

Explanation:

Let the height of the flagpole be 'H'.

So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.

Given:

Height of stick is,
`h=4\ ft`

Shadow of the stick is,
`s=2.5\ ft`

Shadow of the flagpole is,
`S=7.5\ ft`

Now, as these are in proportion, we have

`(H)/(h)=(S)/(s)`

Plug in the given values and solve for 'H'. This gives,

`(H)/(4)=(7.5)/(2.5)\\\\(H)/(4)=3\\\\H=3* 4=12\ ft`

Hence, the height of the flagpole is 12 feet.