Question

Ben is 6 feet tall. He pounds a stake into the ground until only 1 foot of it is remaining out of the ground. It’s shadow is six inches long. How long is Ben’s shadow?

Answer 1

1 foot = 12 inchest

12/2 = 6

The shadow is half as long as the steak.

Ben = 6 feet

6/2 = 3

Bens shadow is 3 feet long.

Answer 2

The length of Ben's shadow is 3 feets long using the principle of proportional relationship.

• Ben's height = 6 feets
• Length of stake = 1 foot
• Length of stake's shadow = 6 inches
• Ben's shadow = b

Converting the length of stake into feet ;

I foot = 12 inches

x = 6 inches

x = (12 / 6) = 0.5 feets

Hence, stake's shadow is 0.5 feets

Using the relation :

• Ben's height / Ben's shadow = Stake's height / Stake's shadow

• 6 / b = 1 / 0.5

• Cross multiply :

• b = (6 × 0.5) = 3 feets

Therefore, Ben's shadow is 3 feets on length

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