contestada

If all men had identical body​ types, their weight would vary directly as the cube of their height. The tallest person reached a record height of 8 feet 11 inches ​(107 ​inches) before his death at age 22. If a man who is 5 feet 10 inches tall ​(70 ​inches) with the same body type as the tallest person weighs 170 ​pounds, what was the tallest​ person's weight shortly before his​ death?

Respuesta :

Answer: The weight of tallest person would be 607.16 pounds.

Step-by-step explanation:

Since we have given that

height of the tallest person = 8 feet 11 inches = 107 inches

If all men had identical body​ types, their weight would vary directly as the cube of their height.

If a man who is 5 feet 10 inches tall ​(70 ​inches) with the same body type as the tallest person weighs 170 ​pounds,

So, it becomes,

[tex]W=xh^3[/tex]

[tex]170=x(70)^3\\\\\dfrac{170}{70^3}=x\\\\x=\dfrac{170}{343000}[/tex]

So, weight of tallest person would be

[tex]W=\dfrac{170}{343000}\times 107^3\\\\W=607.16\ pounds[/tex]

Hence, the weight of tallest person would be 607.16 pounds.

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