Answer:
The height of the person is 5 feet.
Step-by-step explanation:
Given : A telephone pole [tex]13\frac{1}{3}[/tex] feet tall casts a shadow of 16 feet when a person casts a shadow of 6 feet.
To find : How tall is the person?
Solution :
With the help of ratio comparing we find the height of the building to the height of the man and shadow of the building to the shadow of the man.
Let H be the height of the tower, [tex]H=\frac{40}{3}[/tex]
h be the height of the man,
S be the shadow of tower, S=16 feet.
s be the shadow of the person, s=6 feet.
Applying Ratio comparing,
[tex]\frac{H}{S}= \frac{h}{s}[/tex]
[tex]\frac{\frac{40}{3}}{16}= \frac{h}{6}[/tex]
[tex]\frac{40}{3\times 16}= \frac{h}{6}[/tex]
[tex]h=\frac{40\times6}{3\times 16}[/tex]
[tex]h=5[/tex]
Therefore, The height of the person is 5 feet.
