Use similar triangles to solve. A person who is 6 feet tall is standing 168 feet from the base of a tree, and the tree casts a 182 foot shadow. The person's shadow is 14 feet in length. What is the height of the tree?

Step 1 ：We are given that a person who is 6 feet tall is standing 168 feet from the base of a tree, and the tree casts a 182 foot shadow. The person's shadow is 14 feet in length. We are asked to find the height of the tree.

Step 2 ：We can use the concept of similar triangles to solve this problem. The ratio of the person's height to their shadow length should be the same as the ratio of the tree's height to its shadow length. We can set up the equation as follows: \[\frac{Person's Height}{Person's Shadow Length} = \frac{Tree's Height}{Tree's Shadow Length}\]

Step 3 ：We can then substitute the given values into the equation: \[\frac{6}{14} = \frac{Tree's Height}{182}\]

Step 4 ：Solving for the tree's height, we get: \[Tree's Height = \frac{6}{14} * 182 = 78.0\]

Step 5 ：Final Answer: The height of the tree is \(\boxed{78}\) feet.