A 10-ft vertical post casts a 16-in shadow at the same time a nearby cell phone tower casts a 118-ft shadow. How tall is the cell phone tower?
Using similar triangles, we can set up a proportion:
10 ft (height of the post) / 16 in (length of the shadow of the post) = x ft (height of the cell phone tower) / 118 ft (length of the shadow of the cell phone tower)
Cross multiplying, we get:
10 * 118 = 16x
x = 7.875 ft
Therefore, the cell phone tower is 7.875 ft tall.