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
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.