Question

A cell phone tower and offense are on the same property. The fence is 8 feet tall and has a shadow that measures 14.5 feet the shadow of the cell phone tower measure 72.5 feet. How tall is the cell phone tower

Answer 1

Answer: The height of the cell phone tower can be determined using the concept of similar triangles.

We can set up a proportion between the heights and the shadows of the fence and the cell phone tower:

(height of fence) / (shadow of fence) = (height of cell phone tower) / (shadow of cell phone tower)

Plugging in the given values:

8 / 14.5 = (height of cell phone tower) / 72.5

Now we can solve for the height of the cell phone tower by cross-multiplying:

8 * 72.5 = 14.5 * (height of cell phone tower)

580 = 14.5 * (height of cell phone tower)

Divide both sides by 14.5 to isolate the height of the cell phone tower:

(height of cell phone tower) = 580 / 14.5

Simplifying the right side:

(height of cell phone tower) = 40

Therefore, the cell phone tower is 40 feet tall.

Hope it helps