Answer:
10 ft
Step-by-step explanation:
let l be length of shadow and h the height of a person
Given l varies directly with h then the equation relating them is
l = kh ← k is the constant of variation
To find k use the condition h = 3, l = 5 , then
5 = 3k ( divide both sides by 3 )
[tex]\frac{5}{3}[/tex] = k
l = [tex]\frac{5}{3}[/tex] h ← equation of variation
When h = 6 , then
l = [tex]\frac{5}{3}[/tex] × 6 = 5 × 2 = 10 ft
