Question

A cellular telephone tower casts a shadow that is 72 feet long, while a nearby tree that is 27 feet tall casts a shadow that is 6 feet long. How tall is the tower?

Answer 1

16 feet

Explanation:

Set up a proportion

`(72)/(x)` =
`(27)/(6)` Cross multiply and solve for x

27x = 72(6)

27x = 432 Divide both sides by 27

`(27x)/(27)` =
`(432)/(27)`

x = 16

Helping in the name of Jesus.

Answer 2

324 feet

Explanation:

o find the height of the cellular telephone tower, we can use the concept of similar triangles.

Let's call the height of the tower "h." According to the problem, the shadow cast by the tower is 72 feet long. Let's call the length of the tree's shadow "t." According to the problem, the tree is 27 feet tall, and its shadow is 6 feet long.

We can set up a proportion between the two triangles formed by the tower, its shadow, the tree, and its shadow:

h / 72 = 27 / 6

We can simplify this proportion by cross-multiplying:

6h = 72 * 27

And then solving for h:

h = (72 * 27) / 6 = 324

Therefore, the height of the cellular telephone tower is 324 feet.