Answer:
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.