### Home > PC > Chapter 4 > Lesson 4.3.1 > Problem4-129

4-129.

Challenge: A tree is growing at a rate of $t$ feet per year. Rocky finds the point where he can stand just in the shadow of the tree. Rocky is $6$ feet tall and has stopped growing. The tree is currently $20$ feet tall. Find Rocky’s distance from the tree as a function of $t$ and $θ$.

Let the distance from the tree to Rocky be d and the distance from Rocky
to the tip of his shadow be x. Write two tan equations and solve.