Using similar triangles, we can set up a proportion to find the distance from the top of the tree to the top of its shadow.
Let x be the distance from the top of the tree to the top of its shadow.
In the similar triangles, the ratio of the height of the tree to the length of the shadow is the same as the ratio of the distance from the top of the tree to the top of its shadow to the length of the shadow.
Thus, we have:
24/10 = x/10
Solving for x:
x = (24/10) * 10
x = 24
Therefore, the distance from the top of the tree to the top of its shadow is 24 feet.
A 24-foot tall tree casts a shadow that is 10 feet long. What is the distance from the top of the tree to the top of it's shadow?
1 answer