Find the angle between hour hand and minute hand in a clock at 1. ten past eleven 2. twenty pass seven 3. thirty-five pass one 4. quarter to six 5. 2:20 6. 10:10
I'll explain the first answer and for the rest of the answers I will directly write them..
For the first question 10 past eleven, the answer will be 85 degrees.
- When it's 11 in the clock, the angle between the two hands of the clock will be 30°.
- Remember this - For each 1- min the hour arm moves 0.5° and the min. arm moves 6° .
- So using this statement, the different for every 1 minute change will be 5.5°
- So in 10- minutes the minute hand will have moved (5.5 x 10)= 55° from the hour hand.
- Therefore the angle between the hour hand and the minute hand will be (30° + 55)= 85° .
So using similar logics answers for other questions are as follows -
- twenty past 7 =100°
- thirty-five past 1= 162.5°
- quater to 6= 97°
- 2.20= 50°
- 10 :10=115°
Thank you.