For this week’s Math Blog Post, I drew a picture of how you can solve the height of a shadow. It doesn’t have to be just used for shadows, however.

Let me explain:

Step 1: Convert the feet into inches by multiplying by 12. Fred is 5 feet, 2 inches, which is 62 inches. The building is 50 feet, 2 inches, which is 602 inches. The building’s shadow is 60 feet, which is 720 inches. **Remember that we are solving for Fred’s shadow.**

Step 2: Put the inches into a formula:

Fred’s height Building’s height

__________ = _____________

Fred’s shadow Building’s shadow

The above formula is put into effect in the picture above. When you multiply 62 (Fred’s height) by 720 (Building’s shadow), you get 44,640.

Step 3: Divide.

Divide 44,640 by 600, and you get 74.4. But that’s not the answer. **You must divide 74.4 by 12 to put it into feet and inches. **74.4 divided by 12 is 6.2, which is rounded to 6 feet, 2.5 inches.