A fire hydrant that is 1.5 feet high casts a shadow that is 2.5 feet long. At the same time of day, a lamppost casts a shadow 15 feet long. What is the height of the lamppost?
the post's shadow is 6 times as long as the hydrant's.
So, the post is 6 times as tall.
or, using ratios,
x/15 = 1.5/2.5
it is not 6 its 9 because 2.5/15=1.5/h cross multiply and divide
Awesome Job at writing your questions!
To find the height of the lamppost, we can set up a proportion using the heights and shadows of the fire hydrant and the lamppost.
Let "x" represent the height of the lamppost. The proportion can be set up as follows:
1.5 feet (fire hydrant height) : 2.5 feet (fire hydrant shadow) = x feet (lamppost height) : 15 feet (lamppost shadow)
To solve this proportion, we can cross-multiply and then solve for x.
1.5 * 15 = 2.5 * x
22.5 = 2.5 * x
Next, we divide both sides of the equation by 2.5 to isolate x:
22.5 / 2.5 = x
9 = x
Therefore, the height of the lamppost is 9 feet.