Question

Find the angle between hour hand and minute hand at 03:05 PM.

Answer 1

To find the angle between hour and minute hand at 03:05 hrs, we will have to check angle moved by hour hand separately and minute hand separately.
So,

• To reach at 3, hour hand will move 90⁰ and we also know that in 1 minute hour hand moves an angle of 0.5⁰, so in 5 minutes it will move by 2.5⁰.
• The total angle moved by hour hand is 90⁰+2.5⁰ that is 92.5⁰
• Now, minute hand moves by an angle of 6⁰ in 1 minute. So in 5 minutes it will move by an angle of 30⁰

Hence the net angle between the hands is: 92.5⁰ - 30⁰ = 62.5⁰.

Hence the angle between the hands of the clock at 03:05 pm is 62.5⁰.