Question

14. Find the angle between hour-hand and minute-
hand in a clock at
(i) ten past eleven
(ii) twenty past seven
(iii) thirty-five past one
(iv) quarter to six (v) 2:20 (vi) 10:10.​

Answer 1

Step-by-step explanation:

a) 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 -

b) twenty past 7 =100°

c) thirty-five past 1= 162.5°

d) quater to 6= 97°

e) 2.20= 50°

f) 10 :10=115°