in sunlight a vertical stick 6 ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14 ft long. How tall is the tree? round to the nearest tenth

Question

anonymous · Answer

it is a case of direct variation/proportion

so

x1        x2                  6            x2
--  =  ----   ==>  ----- = -----
y1         y2                  2            14

             6 x 14
==>  -------- = x2    ==>  x2 = 42
                 2

anonymous · Answer

so the tree is 42 ft tall