Question

A flagpole casts a shadow that is 25 feet long. At the same time, a woman standing nearby who is 5 feet 6 inches tall casts a shadow that is 31

inches long. how tall is the flagpole to the nearest foot?
The flagpole is about feet tall.

Answer 1

The flagpole is about 53 feet tall.

Explanation:

1) Convert feet to inches.

1 foot = 12 inches, so...

- The flagpole's shadow is 25*12=300in long.

- The woman is 5*12=60+6=66in tall.

Everything is now in inches.

2) Solve.

x/66 = 300/31

31x=19800

31x/31 = 19800/31

x=638.7096774 or 639in

3) Convert inches to feet

639÷12=53.25 or 53ft

4) Solution

So, the flagpole is about 53ft tall.