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
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.