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.
[tex]\therefore h\propto s[/tex]
[tex]h=ks[/tex]
where, h is height of boy, k is constant of proportionality and s is shadow length.
when h=5 , s=8
5=8k
[tex]k=\frac{5}{8}[/tex]
We need to find height when shadow length is 20 feet.
[tex]h=\frac{5}{8}\times 20\Rightarrow 12.5\text{ foot}[/tex]
Thus, Height of lamppost would be 12.5 feet.
