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

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

$\frac{6}{15}=\frac{20}{x}$

$6x=20\times 15$

$6x=300$

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.

Answer 2

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