in a picture a man measures 2.4cm his actual height is 1.78m he is standing beside a flagpole that measurea 8.4cm in the picture what is the actual height to the flagpole to the nearest centimeter

To solve this problem, we can use the concept of **similar triangles**. The man and the flagpole create similar triangles because both are vertical objects and their respective heights and shadow lengths are proportional.

### Step-by-Step Solution

1. **Identify the given values**:
   - Man's height in the picture: \( 2.4 \text{ cm} \)
   - Man's actual height: \( 1.78 \text{ m} \)
   - Flagpole's height in the picture: \( 8.4 \text{ cm} \)

2. **Set up the proportion**:
   \[
   \frac{\text{Man's height in picture}}{\

Learn how to calculate the actual height of an object from a picture using similar triangles. This problem involves determining the actual height of a flagpole based on a scaled image where a man's height and the flagpole's length are given. Suitable for students in Grades 7-9.

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