A pole that is 25 feet tall casts a shadow 65 feet long. At the same time, another pole casts a shadow having a length of 39 feet. What is the height, in feet, of the second pole?
Answer 10.5
14
15
41.7

Question

A pole that is 25 feet tall casts a shadow 65 feet long. At the same time, another pole casts a shadow having a length of 39 feet. What is the height, in feet, of the second pole?
Answer    10.5 
   14 
   15 
   41.7

jim_thompson5910 · Answer

(Height of pole1)/(Shadow length of pole1) = (Height of pole2)/(Shadow length of pole2)

25/65 = x/39

25*39 = 65x

975 = 65x

975/65 = x

15 = x

x = 15


So the length of the second pole is 15 feet.