Question

Abel is 6 feet tall and casts an 8-foot shadow. A lamppost next to him casts a 13.5-foot shadow. Use the drop-down menus to build an equation that can be used to find the height, h, of the lamppost.

Answer 1

`(6)/(8)=(h)/(13.5)`

Explanation:

This problem can be solved by using a proportion.

Remember that a proportion is an equality between two ratios. In this case, one ratio could be 6/8 and the other one could be x/13.5, where the numerators are the height of Abel and the lamppost, and the denominators are the shadow lengths.

So, the proportion is

`(6)/(8)=(h)/(13.5)`

This equation can be used to find the height of the lamppost.

If we solve for
`h`, we can find the answer

`h=(6(13.5))/(8)\\ h \approx 10.13`

However, the question is onlu asking for the equation. So, the answer is

`(6)/(8)=(h)/(13.5)`