Respuesta :
Answer
Find out the how long is woman shadow .
To prove
Let us assume that the height = x
Let us assume that the shadow = y
(As shadow increase with the increase in the height.)
[tex]x\propto y[/tex]
x = ky
Where k is constant of proportionality.
As given
A 10 ft tall statue standing next to a woman casts an 18 ft shadow.
10 = k × 18
[tex]k = \frac{10}{18}[/tex]
As given
If the woman is 5 ft tall .
Let us assume that the shadow of woman be s .
Put in the proprtionality equation .
5 = k × s
[tex]k = \frac{5}{s}[/tex]
Compare the value of k .
[tex]\frac{10}{18} = \frac{5}{s}[/tex]
[tex]s = \frac{18\times 5}{10}[/tex]
s = 9 ft
Therefore the shadow of the woman be 9 ft .
Option (C) is correct .
Option C: 9 feet is the correct answer
Explanation:
Height of the statue = 10 feet
Height of the shadow = 18 feet
Woman's standing next to the statue height = 5 feet
Let us assume her shadow to be = x feet
Using the concept of proportionality
[tex]\frac{10}{18}=\frac{5}{x}[/tex]
[tex]10x=90[/tex]
[tex]x=9[/tex]
Hence, the height of woman's shadow is 9 feet.
