Question

An accurate clock show the time to be 10 o’ clock in the morning, how many degrees will the hour hand have to move till 4 o’ clock in the afternoon?​

Answer 1

Answer:

90 degree is the right answer

Answer 2

Answer:

in case of a 12 hour clock, the angle traced by the  hour hand when it shows 4 pm in the afternoon = 6×30 = 180°

if its a 24 hour clock: the angle traced by the  hour hand when it shows 4 pm in the afternoon = 6×15 = 90°

Step-by-step explanation:

given: an accurate clock shows time as 10 am

to find: angle traced by the hour hand when it shows 4 pm in the afternoon

in case of a 12 hour clock:

in 12 hours, the hour hand rotates 360 degrees

so in 1 hour, the hour hand rotates $\frac{360}{12}$ degrees = 30 degrees

also, time difference between 10 am and 4 pm = 6 hours

thus, the angle traced by the  hour hand when it shows 4 pm in the afternoon = 6×30 = 180°

if its a 24 hour clock:

in 1 hour the hour hand rotates $\frac{360}{24}$ = 15°

in 6 hours, the hour hand traces 15×6 = 90°

thus, the angle traced by the  hour hand when it shows 4 pm in the afternoon = 6×15 = 90°