At what time between 2 and 3 the acute anglebetween the hour hand and

1.	At what time between 2 and 3 the acute anglebetween the hour hand and the minute hand will be50°
Answer» to find 1 minute as we know clock has a circle shape and we know that angle of a circle=360 degree we know that it completes a circle in 1 hour 1 hour=60 min hence 60 min = 360 degree 1 min = 360 /60 = 6degree Finding 1 hour 12 hours = 360º 1 hour = 360 ÷ 12 = 30degree Defining y the minute hand be pointing to y min Finding the angle that the minute hand made: 1 min = 6degree y min = 6y degree Finding the angle that the hour hand made The hour hand is between 2 and 3 o'clock hour hand = (2 * 30) + (y/60 30) = (60 + y/2)degree Solve for y The angle between the hour hand and minute hand is 50 degree 6y - (60 + y/2) = 50 6y - 60 - y/2 = 50 6y-y/2=50+60 taking lcm of L.H.S 11y/2 = 110 11y = 1102 11y = 220 y=220/11 y=20 hence minute hand is at 20 position time= 2:20 thank you very much

At what time between 2 and 3 the acute anglebetween the hour hand and the minute hand will be50°

Answer»

to find 1 minute

as we know clock has a circle shape

and we know that angle of a circle=360 degree

we know that it completes a circle in 1 hour

1 hour=60 min

hence

60 min = 360 degree

1 min = 360 /60 = 6degree

Finding 1 hour

12 hours = 360º

1 hour = 360 ÷ 12 = 30degree

Defining y

the minute hand be pointing to y min

Finding the angle that the minute hand made:

1 min = 6degree

y min = 6y degree

Finding the angle that the hour hand made

The hour hand is between 2 and 3 o'clock

hour hand = (2 * 30) + (y/60 *30) = (60 + y/2)degree

Solve for y

The angle between the hour hand and minute hand is 50 degree

6y - (60 + y/2) = 50

6y - 60 - y/2 = 50

6y-y/2=50+60

taking lcm of L.H.S

11y/2 = 110

11y = 110*2

11y = 220

y=220/11

y=20

hence minute hand is at 20 position

time= 2:20

thank you very much