Final answer:
The flagpole is 9 feet tall.
Step-by-step explanation:
To solve this problem, we can set up a proportion between the height of Jonathon and his shadow, and the height of the flagpole and its shadow.
We know that Jonathon is 6 feet tall and his shadow is 50 inches long. Let x represent the height of the flagpole.
Using the proportional relationship, we can set up the equation:
6 / 50 = x / 75
Cross-multiplying, we get:
6 * 75 = 50 * x
450 = 50x
Dividing both sides by 50, we find that:
x = 9
Therefore, the flagpole is 9 feet tall.