A 10-ft vertical post casts a 4-ft shadow at the same time a nearby cell phone tower casts a 6-ft shadow. How tall is the cell phone tower? Show your work

Answer 1

We can set up a proportion to find the height of the cell phone tower.

Let's assume the height of the cell phone tower is x ft.

The proportion can be set up as follows:

10 ft (height of post) / 4 ft (length of shadow of post) = x ft (height of cell phone tower) / 6 ft (length of shadow of cell phone tower)

We can cross-multiply:

10 ft * 6 ft = 4 ft * x ft

60 ft^2 = 4 ft * x ft

To solve for x, we divide both sides of the equation by 4 ft:

60 ft^2 / 4 ft = x ft

15 ft = x ft

Therefore, the cell phone tower is 15 ft tall.