Answer: 51ft
Explanation:
We can solve this problem using proportions. Let's denote the height of the flagpole as "h."
According to the given information, the height of the man is 6 feet, and his shadow is 10 feet. Similarly, the shadow of the flagpole is 85 feet.
We can set up the following proportion:
(man's height) / (man's shadow) = (flagpole's height) / (flagpole's shadow)
Using the given values, we can substitute them into the proportion:
6 / 10 = h / 85
Cross-multiplying, we have:
6 * 85 = 10 * h
510 = 10h
Dividing both sides by 10:
h = 510 / 10
h = 51
Therefore, the height of the flagpole is 51 feet.