a vertical yeard stick casts a shadow 24 inches at the same times that a flagpole casts a shadow 16 feet long.how tall is the flag pole?

Question

a vertical yard stick casts a shadow 24 inches at the same time that a flagpole casts a shadow 16 feet long. how tall is the flagpole?

Answer 1

You can set up a proportion:

First, you must make certain all your lengths

are in the same units.  Everything must be

in inches, or everything in feet.  It's simpler

to put all lengths in terms of feet.

 

24 inches is 2 feet since 12 inches = 1 foot

 

Also, note that 1 yard = 3 feet

 

Your proportion is;

 

3 feet is to 2 feet as x feet is to 16 feet:

3:2::x:16

 

3/2 = x/16

2x = 3(16)

2x = 48

x = 24

 

The flagpole is 24 feet tall