Question

Don't scroll!! 40 points for whoever helps me!! T-T

A 54-foot tall office building casts a shadow that is 48 feet long. If Mindy is 5’6” tall and standing nearby, find the length of her shadow.

Answer 1

`\huge\boxed{(44)/(9) \ \text{feet}}`

Explanation:

If the sun hits two objects at the same time of day, their shadow lengths will be proportionate to their original object with same constant of proportionality.

Therefore, we can set up a proportion fraction to find Mindy's shadow length. Let's assume we have the fraction as
`\frac{\text{original}}{\text{shadow}}`.

`(54)/(48)=(5.5)/(x)`

We use 5.5 because 5'6" is the same thing as 5.5 feet - 6 inches is half a foot.

We can solve for x by cross multiplying.

`48 \cdot 5.5=264`

`264 / 54 = (264)/(54)`

We can simplify this fraction by dividing the numerator/denominator by 6.

`264 / 6 = 44\\54/6=9`

`(44)/(9)`

So Mindy's shadow is
`(44)/(9)` feet long.

Hope this helped!