Aflagpole casts a shadow that is 15 feet and a 5 feet teenager casts a shadow that is 6 feet. how tall is the flagpole? use a drawing to solve the problem. show work!

  The flagpole is 12.5 ft tall.

Step-by-step explanation:

The ratio of object height to shadow length is ...

  (teen height) : (teen shadow) = (5 ft) : (6 ft) = 5 : 6

so the height of an object is 5/6 the length of its shadow. Then the height of the flagpole is ...

  (5/6) · (15 ft) = 12.5 ft

_____

A suitable scale drawing can show you the answer.