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

Answer 1

5 : 8 = x : 20
20*5 = 8x
x = 12,5
Therefore height of the lamp is 12.5 feet :)

Answer 2

Height of lamppost would is 12.5 feet.

Explanation:

We are given a 5 feet tall boy form shadow with 8 foot.

As we know height is directly proportional to shadow length.

`\therefore h\propto s`

`h=ks`

where, h is height of boy, k is constant of proportionality and s is shadow length.

when h=5 , s=8

5=8k

`k=(5)/(8)`

We need to find height when shadow length is 20 feet.

`h=(5)/(8)* 20\Rightarrow 12.5\text{ foot}`

Thus, Height of lamppost would be 12.5 feet.