The sun is shining on a house and fence. The roof of the house is 16 feet from the ground and makes a shadow 24 feet long. The fence is 4 feet tall. How long is the fence's shadow?
To find the length of the fence's shadow, we use similar triangles.
Let x be the length of the fence's shadow.
We can create a proportion with the heights and shadows of the house and fence:
16/24 = 4/x
Solving for x:
16x = 96
x = 6
Therefore, the length of the fence's shadow is 6 feet.