1
Question
Which of the following angles is the angle between the hour hand and the minute hand at 05:05 PM.
Which of the following angles is the angle between the hour hand and the minute hand at 05:05 PM.
Open in App
Solution
The correct option is D 122.5 degrees
To find the angle between hour hand and minute hand at 05:05 PM, we will have to check the angle moved by hour hand separately and minute hand separately.
- To reach at 5, hour hand will move 30⁰ × 5 = 150° and we also know that in 1 minute hour hand moves an angle of 0.5⁰, so in 5 minutes it will move by 0.5° × 5 = 2.5⁰. Hence, the total angle moved by hour hand is 150⁰ + 2.5⁰ = 152.5⁰.
- Now, minute hand moves by an angle of 6⁰ in 1 minute. So in 5 minutes it will move by an angle of 6° × 5 = 30⁰.
Hence the net angle between the hands is 152.5⁰ - 30⁰ = 122.5⁰.
To find the angle between hour hand and minute hand at 05:05 PM, we will have to check the angle moved by hour hand separately and minute hand separately.
- To reach at 5, hour hand will move 30⁰ × 5 = 150° and we also know that in 1 minute hour hand moves an angle of 0.5⁰, so in 5 minutes it will move by 0.5° × 5 = 2.5⁰. Hence, the total angle moved by hour hand is 150⁰ + 2.5⁰ = 152.5⁰.
- Now, minute hand moves by an angle of 6⁰ in 1 minute. So in 5 minutes it will move by an angle of 6° × 5 = 30⁰.
Suggest Corrections
1
Similar questions
Join BYJU'S Learning Program
Explore more
Join BYJU'S Learning Program
