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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. Homework Help ✎Challenge icon

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.