The length of the man’s shadow is 2.2 feet.
Step-by-step explanation:
Let, the height of the tree = [tex]l_{1}[/tex] = 15 feet
Length of the shadow of the tree = [tex]s_{1}[/tex] = 5.5 feet
Height of the man= [tex]l_{2}[/tex] = 6 feet
Length of the shadow of the man= [tex]s_{2}[/tex] = ?
Ratio of length of objects = ratio of lengths of their shadows
[tex]\frac{l_{1} }\frac{l_{2} }[/tex] = [tex]\frac{s_{1} }\frac{s_{2} }[/tex]
[tex]\frac{15}{6}[/tex]= [tex]\frac{5.5}{s_{2}}[/tex]
[tex]\frac{5}{2}[/tex] = [tex]\frac{5.5}{s_{2}}[/tex]
5[tex]s_{2}[/tex] = 5.5 × 2
[tex]s_{2}[/tex] = [tex]\frac{5.5 X 2}{5}[/tex]= 2.2 Feet
