at 5pm a person 5 feet tall casts a 10 foot shadow. at the same time a flagpole casts a 40 foot shadow. what is the height of the flagpole?
X/40 = 5/10,
X = 40*(5/10) = 20 Ft.
To find the height of the flagpole, we can set up a proportion based on the information given.
Let's denote the height of the flagpole as 'x'. So, we have the following proportions:
(Person's height) / (Person's shadow) = (Flagpole's height) / (Flagpole's shadow)
Substituting the values we have:
5 feet / 10 feet = x / 40 feet
To solve for 'x', we can cross-multiply and then solve for 'x':
(5 feet) * (40 feet) = 10 feet * x
200 feet = 10 feet * x
Dividing both sides of the equation by 10 feet:
(200 feet) / (10 feet) = x
20 feet = x
Therefore, the height of the flagpole is 20 feet.