Question

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

Answer 1

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

Answer 2

The correct option is B.

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

`(6)/(15)=(20)/(x)`

`6x=20* 15`

`6x=300`

Divide both sides by 6.

`x=50`

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