The angle of a door: Is it possible to express the amount by which a door is opened using an angle? What will be the vertex of the angle and what will be the arms of the angle?
Yes, the amount by which a door is opened can be expressed using an angle.
Vertex of the angle: The hinge of the door (where the door is attached to the frame).
Arms of the angle:
- One arm along the door frame (wall)
- The other arm along the open door
As the door opens wider, the angle increases.
Explanation
The chapter defines an angle as 'formed by two rays having a common starting point.' In the case of a door, the hinge acts as the vertex, and the two arms are the door frame (stationary) and the door itself (rotating). As the door opens, it rotates around the hinge, creating an angle between the door and the frame. This is a practical application of angle measurement.
Solution Steps
Yes, the door opening can be expressed using an angle.
The vertex of the angle is at the hinge of the door.
One arm of the angle is along the door frame (wall).
The other arm of the angle is along the open door.
As the door opens wider, the angle increases.