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The height of an object varies directly with the length of its shadow, A person who is 6 feet tall casts a 15-foot shadow, how long is the shadow of a 20-foot tree

A- 8 Feet

B- 50 feet

C- 10 feet

D- 3feet, 6 inches

Respuesta :

tonb
The multiplier to get from 6 * ... to 15 is 15/6.
If 6 * 15/6 = 15, then 20 * 15/6 = 50, answer B.

Answer:

The correct option is B.

Step-by-step explanation:

It is given that a person who is 6 feet tall casts a 15-foot shadow.

Let the shadow of a 20-foot tree be x.

The height of an object varies directly with the length of its shadow, so

[tex]\frac{6}{15}=\frac{20}{x}[/tex]

[tex]6x=20\times 15[/tex]

[tex]6x=300[/tex]

Divide both sides by 6.

[tex]x=50[/tex]

The value of x is 50, therefore the shadow of a 20-foot tree is 50 feet long. Option B is correct.

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