The next two times at which the hands of the clock will be perpendicular are at 1:20 and at 1:50.
When will the hands be perpendicular?
The two hands will be perpendicular when the angle between them is 90°. Remember that every 5 minutes that the minute clock moves, there is an angle of 30°.
Each hour that the hour hand moves, there is an angle of 30°.
The first time that we will have an angle of 90° between the hands is at:
1:20
Because the minute hand is at an angle of -30° with respect to the x-axis at 20 minutes, and the hour hand is at an angle of 60° at 01.
The next time will be when the minute clock moves another 30 minutes (half the circle) and this will be at 01:50.
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
