Question

A 10-ft vertical post casts a 12-in shadow at the same time a near by cell phone tower casts a 120-ft shadow. How tall is the cell phone tower

Answer 1

Answer: 1200 feet

Step-by-step explanation: This problem uses triangles and proportions. The ratio of the height of the post to the length of its shadow is equal to the ratio of the height of the tower to the length of its shadow. Let x be the height of the tower in feet. We can set up the proportion:

10/1 = x/120

Then solve for x:

10(120) = 1x

x = 1200