Question

A flagpole 3 meters tall casta a shadow of 4 meters long at the same time a nearby building casts a shadow of 62 meters long. How tall is the building

Answer 1

To answer this question, you will set up a proportion of the flagpole actual height to the height of the shadow:  3m/4m.  Then set up an equivalent ratio of x meters (height of the building)/62m (height of the shadow of the building).  I would use cross products to solve this proportion.  Please see the attached picture to see the work.  The final answer is that the building is 46.5 meters tall.