Oa The flagpole casts a 12 foot shadow. A 5-foot tall person next to the flagpole has a 3 foot shadow. How tall is the flagpole? Flagpole height 19 Type your answerhere. 2000 2017. Wicon's Wadenny Wilcok

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem:**

The flagpole casts a 12-foot shadow. A 5-foot tall person next to the flagpole has a 3-foot shadow. How tall is the flagpole?

**Diagram Explanation:**

There is a simple illustration of a flag and its shadow, represented by a rectangle with a shadow extending from its base.

**Solution Section:**

Flagpole height = [Type your answer here]

To solve this problem, use similar triangles or proportions:

- The ratio of the person's height to their shadow is 5 feet / 3 feet.
- The same ratio applies to the flagpole, so set up the proportion:

\[
\frac{\text{Flagpole height}}{12 \text{ feet}} = \frac{5 \text{ feet}}{3 \text{ feet}}
\]

Solve for the flagpole height.
Transcribed Image Text:**Problem:** The flagpole casts a 12-foot shadow. A 5-foot tall person next to the flagpole has a 3-foot shadow. How tall is the flagpole? **Diagram Explanation:** There is a simple illustration of a flag and its shadow, represented by a rectangle with a shadow extending from its base. **Solution Section:** Flagpole height = [Type your answer here] To solve this problem, use similar triangles or proportions: - The ratio of the person's height to their shadow is 5 feet / 3 feet. - The same ratio applies to the flagpole, so set up the proportion: \[ \frac{\text{Flagpole height}}{12 \text{ feet}} = \frac{5 \text{ feet}}{3 \text{ feet}} \] Solve for the flagpole height.
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