A flagpole casts a showdown 15 feet long the 6 foot tall man casts a shadow 4 feet long how tall is the flag pole

• musiclover10045: set it up as a ratio:
  mans shadow over mans height (4/6 ) equals flag pole shadow over flag pole height (15/x)
  
  set them to equal each other:
  
  4/6 = 15/x
  
  cross multiply: 4*x =4x, 15*6 = 90
  
  so you have 4x = 90
  
  now divide both sides by 5 to solve for x, which is the height of the flag pole:
  
  x = 90 / 4 = 22.5 feet tall