High School

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Jeremy stands so that his shadow and the shadow cast by a flagpole end at the same point.

- Jeremy's shadow: 8 ft
- Flagpole's shadow: 16 ft

If Jeremy is exactly 68 inches tall, what is the height of the flagpole in feet?

Answer :

The height of the flagpole is 22.64 feet when the flag pole is 16 ft away.

What are similar triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.

Properties:

Despite having the same shape, both could have different sizes.

There are no matching angles that are not equal.

Similar equivalent side ratios exist.

The given figure forms two similar triangles.

According to the rule of similar triangles. the ratio of length of the segments of the similar triangles are equal.

Height of Jeremy is68 inches = 5.66 feet.

Thus,

8/24 = 5.66/x

Using cross multiplication we have:

6x = 5.66(24)

x = 22.64

Hence, the height of the flagpole is 22.64 feet.

Learn more about similar triangles here:

https://brainly.com/question/25882965

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