A cell phone tower in a field casts a shadow of 100 ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)

The tower and post form similar triangles because their shadows are cast at the same time. Convert the post measurements to feet: its height is 4.5 ft and its shadow is 3 ft 4 in = 10/3 ft. The tower-to-shadow ratio is therefore 4.5 ÷ (10/3) = 1.35, so the tower’s height is 1.35 × 100 = 135 ft. The correct choice is 135 ft.

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