The height of pole is 51 feet.
Step-by-step explanation:
Given,
Height of man = 6 feet
Height of man's shadow = 10 feet
Height of pole = x
Height of pole's shadow = 85 feet
Ratio of man's height to man's shadow = 6:10
Ratio of pole's height to pole's shadow = x:85
Using proportion
Ratio of man's height to man's shadow :: Ratio of pole's height to pole's shadow
[tex]6:10::x:85[/tex]
Product of mean = Product to extreme
[tex]10*x=85*6\\10x=510[/tex]
Dividing both sides by 10
[tex]\frac{10x}{10}=\frac{510}{10}\\x=51[/tex]
The height of pole is 51 feet.
Keywords: ratio, proportion
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