Henry thinks he can figure out how high his kite is while flying it in the park. First, he lets out 150 feet of string and ties the string to a rock on the ground. Then, he moves from the rock until the string touches the top of his head. He stands
up straight, forming a right angle with the ground. He wants to find out the distance from the ground to his kite. He
draws the following diagram to illustrate what he has done.
AD = 150
DE
AB = 8
BC = 5.5
Find the height of the kite (the length of side DE).
Hint: Find the corresponding sides. Set up ratios. Solve.