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Home > PC > Chapter 4 > Lesson 4.3.1 > Problem 4-129


Challenge: A tree is growing at a rate of feet per year. Rocky finds the point where he can stand just in the shadow of the tree. Rocky is feet tall and has stopped growing. The tree is currently feet tall. Find Rocky’s distance from the tree as a function of and .

Right triangle, vertical leg represents tree labeled 20 +, angle opposite vertical leg labeled theta, vertical segment between vertical leg and it's opposite angle, represents person labeled 6, divides the horizontal leg into 2 sections, section between vertical leg & vertical segment labeled, d.

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.