ANSWER
Find out the how long of a shadow will a 5 foot tall woman have.
To proof
As given in the question
12 ft tall buildings casts an 8 ft long shadow
woman is 5 foot tall
let us assume that the length of the shadow be x.
At the same time the ratios of the actual length and its shadow length will remain constant for every object.
than the proportion equation becomes
[tex]\frac{building\ height }{building\ shadow} = \frac{woman\ height}{woman\ shadow}[/tex]
As given
12 ft tall buildings casts an 8 ft long shadow
woman is 5 foot tall
put the value
[tex]\frac{12}{8} =\frac{5}{x}[/tex]
[tex]x =\frac{5\times8}{12}[/tex]
x = 3.33...
the shadow of the woman be 3.33...feet long.
Hence proved
