SOMEONE, PLEASE HELP MEEE!!!!!
Sky walks 20 feet away from her house and places a mirror on the ground. She backs 4 feet away from the mirror so that she can see the tip of the roof. Sky's eyes are 4.5 feet above the ground. Sky and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Sky's eyes, the mirror, and the ground are congruent as shown in the image below:
What is the height of the house? Do not round. Show your work and explain your reasoning in complete sentences.