Answer:
[tex]\frac{5}{4} ×Height[/tex]
Step-by-step explanation:
Height of the pole = 12 foot
Shadow length =15 foot
Lets assume an angle α which is the angle between the line joining the far end of the shadow of pole and pole.
Then tan(α) = 12/15 =4/5
Now suppose that height of a random man be H and length of shadow is S.
Now by using the same angle α because we are at the same time of the day.
[tex]tan(\alpha )=\frac{H}{S}[/tex]
[tex]\frac{4}{5}=\frac{H}{S}[/tex]
[tex]S =\frac{5H}{4}[/tex]
Hence the proportion factor is =5/4.
