Question

You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (h) of the lamppost?

A. 5/8 = h/20
B. 8/5= h/20
C. 5/9 = h/20
D. 5/20 = h/8

Answer 1

I would say A. Just because your height and the lamppost's height is a like term, like the length of the shadow. So 5/8 = h/20. But i may be wrong.

Answer 2

A. 5/8 = h/20

Explanation:

Topic: Triangle Similarity

As you can see in the image you can paint the problem that way, it means that each side of the triangle is a multiplier from the other one same side, so you can build a relation as follows:

`(5)/(h) = (8)/(20) \\`

you can re arrange the equality as

`(5)/(8) = (h)/(20)`

as you can ssee you just reached the option A. 5/8 = h/20