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Answered

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

Verified Answer :

Divna

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

Answer:

Height of lamppost would is 12.5 feet.

Step-by-step 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

\(k=\frac{5}{8}\)

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

\(h=\frac{5}{8}\times 20\Rightarrow 12.5\text{ foot}\)

Thus, Height of lamppost would be 12.5 feet.