Question

= ORATIONAL EXPRESSIONS Indirect measurement A man wants to measure the height of a nearby tower. He places a 5 ft pole in the shadow of the tower so that the shadow of the pole is exa shadow of the tower. The total length of the tower's shadow is 161 ft, and the pole casts a shadow that is 3.25 ft long. How tall is the tower? to the nearest foot. (The figure is not drawn to scale.) Explanation Check Type here to search Shadow of pol Pole Shadow of tower Sun Tower ft X 3 © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use​

Answer 1

284 feet approximately

Explanation:

In the given scenario, we can use the concept of similar triangles to determine the height of the tower.

Let's denote the height of the tower as "h."

According to the information provided:

Height of the pole (5 ft) / Length of the pole's shadow (3.25 ft) = Height of the tower (h) / Length of the tower's shadow (161 ft)

To find "h," we can set up the proportion:

5 ft / 3.25 ft = h / 161 ft

Cross-multiplying to solve for "h":

5 ft * 161 ft = 3.25 ft * h

805 ft = 3.25 ft * h

Dividing both sides by 3.25 ft:

805 ft / 3.25 ft = h

248 ft = h

Therefore, the height of the tower is approximately 248 feet when rounded to the nearest foot.