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A man who is 67 inches tall is standing in front of the Dr. Jose Rizal monument in Luneta casts a shadow 75 inches in length. At the same time, the monument casts a shadow 750 inches in length. How tall is the monument?

User Azimi
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Final Answer:

The Dr. Jose Rizal monument in Luneta is approximately 750 inches tall.

Step-by-step explanation:

The height of the monument can be determined using the principle of similar triangles formed by the man, the monument, and their respective shadows. When a person and an object, like a monument, stand in the sun, the ratios of their heights to the lengths of their shadows are equal. In this case, the man's height and the length of his shadow, when compared to the monument's shadow, provide the necessary information to calculate the monument's height.

The proportionality of the triangles is maintained as long as the angles of the sunlight remain constant. By setting up and solving a proportion, we can find the height of the monument without directly using specific formulas. This method is an application of basic geometry, leveraging the relationships between similar triangles to find unknown heights or lengths.

In summary, by understanding the concept of similar triangles, we can determine the height of the Dr. Jose Rizal monument without explicitly using formulas. This approach showcases the practical application of geometric principles in solving real-world problems, allowing us to find the monument's height using the given information about the man's height and the lengths of their respective shadows.

User Mberacochea
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