Answer:
d = [tex]\frac{5x}{2}[/tex]
Step-by-step explanation:
Height of the person = 6 feet
Height of the lamppost = 10 feet
Let the distance between the man and end of shadow be = y
By using the concept of similar triangles:
[tex]\frac{y}{6}=\frac{x}{10-6} }[/tex]
=> [tex]\frac{y}{6}=\frac{x}{4} }[/tex]
So, y = [tex]\frac{3x}{2}[/tex]
Now distance d will be = x + y
= [tex]x+\frac{3x}{2}[/tex]
d = [tex]\frac{5x}{2}[/tex]
