Trudy found that an observation tower that is 24 yards tall casts a shadow 45 yards long. Then Trudy noticed a nearby monument that is 32 yards tall. How long is the monument's shadow?
To find the length of the monument's shadow, we can set up a proportion using the heights and shadows of the observation tower and the monument.
Let x represent the length of the monument's shadow.
We can set up the proportion as follows:
24/45 = 32/x
Cross multiply to solve for x:
24x = 45 * 32
24x = 1440
x = 1440 / 24
x = 60
Therefore, the length of the monument's shadow is 60 yards.