A storage room in a bakeshop has its roof inclined and meets the level floor 8 meters from the door as shown in Figure 12, that is, DX = 8 m. The highest point of the ceiling at point T is directly above the door and DT = 3DX. A bread tray rack, 1-meter wide and 2 meters in height, is stored in the room in such a way that its top edge touches the ceiling. Find the distance between the door and the side of the tray that faces the door.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.