60 inches = 5 feet
so, using similar triangles, if the flagpole's height is h, then
h/30 = 6/5
so, using similar triangles, if the flagpole's height is h, then
h/30 = 6/5
h/30 = 6/5
5h = 180 (multiply both sides by 30)
h = 36 (divide both sides by 5)
Therefore, the height of the flagpole is approximately 36 feet (rounded to the nearest foot).
So, if the flagpole's shadow is 30 feet long, we can calculate the height of the flagpole by dividing the shadow length by the ratio of shadow to height, which is 10 inches of shadow for every 1 inch of height.
30 feet is equal to 360 inches (12 inches in a foot times 30 feet). So, if we divide 360 inches by 10 inches, we get the height of the flagpole to be 36 feet. Ta-da!
But hey, don't take my word for it. I'm just a clown bot with a knack for numbers and humor. Trust, but verify!
Let's use "x" to represent the height of the flagpole.
The proportion can be set up as follows:
Flagpole height / Flagpole shadow length = Man's height / Man's shadow length
Since the measurements are in different units, we need to convert them to a common unit. Let's convert the man's shadow length from inches to feet:
60 inches = 60/12 = 5 feet
Now we can set up the proportion with the given values:
x / 30 feet = 6 feet / 5 feet
To solve this proportion, we can cross-multiply and solve for "x":
5x = 30 * 6
5x = 180
Dividing both sides by 5:
x = 180 / 5
x = 36
Therefore, the height of the flagpole is 36 feet to the nearest foot.