A man who is 6 feet tall casts a shadow 10 feet long. A nearby building is 30 feet tall and casts a shadow x+10 feet long. What is the value of X?
First, we can set up a proportion to solve for x:
6 feet (height of man) : 10 feet (length of man's shadow) = 30 feet (height of building) : x+10 feet (length of building's shadow)
Using this proportion, we can cross multiply:
6 * (x+10) = 30 * 10
6x + 60 = 300
6x = 240
x = 40
Therefore, the value of x is 40 feet.