Mr. Hemley stands next to the Illinois Centennial Monument at Logan Square in Chicago and casts a shadow that is 18 feet long. The shadow of the monument is 204 feet long. If Mr.Hemley is 6 feet tall, how tall is the monument?
Yes
no
To find the height of the monument, we can set up a proportion using the given information.
Let's represent the height of the monument as "x".
According to the question, the length of Mr. Hemley's shadow is 18 feet, and the length of the monument's shadow is 204 feet.
So, we can set up the following proportion:
(Mr. Hemley's height) / (Length of Mr. Hemley's shadow) = (Monument's height) / (Length of monument's shadow)
Plugging in the values we know:
6 feet / 18 feet = x / 204 feet
To solve for "x," we can cross-multiply:
6 feet * 204 feet = 18 feet * x
1224 feet^2 = 18 feet * x
Dividing both sides of the equation by 18 feet:
1224 feet^2 / 18 feet = x
Simplifying:
68 feet = x
Therefore, the height of the monument is 68 feet.
Cross multiply and solve for x
6/18 = x/204