On a sunny day, a 6-foot man casts a shadow that is 11 feet long. The shadow of a nearby oak tree is 66 feet long. Find the height of the tree.
Use this proportion. Cross multiply and solve for x.
6/11 = x/66
To find the height of the tree, we can set up a proportion using the information given.
Let's assume that the height of the tree is represented by h feet.
We can set up the proportion as follows:
6 feet (height of the man) / 11 feet (length of the man's shadow) = h feet (height of the tree) / 66 feet (length of the tree's shadow)
To solve for h, we can cross-multiply and then solve for h:
6 × 66 = 11h
396 = 11h
Dividing both sides of the equation by 11:
h = 36
Therefore, the height of the tree is 36 feet.