Jack is standing next to a monument in the city square. His shadow is 18 feet long. The shadow of the monument is 150 feet long. If Jack is 6 feet tall, how tall is the monument
Use proportion:
6/18=h/150
This question is in my FLVS test.... and i have NO idea. O_O"
To find the height of the monument, we can set up a proportion based on the relationship between the length of the shadow and the height of an object.
Let's denote the height of the monument as 'h'. The proportion can be set up as follows:
height of Jack / length of Jack's shadow = height of the monument / length of the monument's shadow
Plugging in the given values, we have:
6 feet / 18 feet = h / 150 feet
To solve for 'h', we can cross-multiply and then divide:
(6 feet * 150 feet) / 18 feet = h
Calculating the expression on the left side:
900 feet * feet / 18 feet = h
Cancel out the 'feet' units:
50 = h
Therefore, the height of the monument is 50 feet.