2020 · Q85
A ladder 5 m long is placed in a room so as to reach a point 4.8 m high on a wall and on turning the ladder over to the opposite side of the wall without moving the base, it reaches a point 1.4 m high. What is the breadth of the room?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A5.8 m
- B6 m
- C6.2 m
- D7.2 m
Explanation
First position: base distance = √(25 − 4.8²) = 1.4 m. Turned over: base distance = √(25 − 1.4²) = 4.8 m. The room's breadth is 1.4 + 4.8 = 6.2 m.