If the angle between the hand of clock be 54 degree and the time it reads between 7 and 8. Find the time?
Hi,
Formula for angles between two hands of a clock
there are 2 possibilities
ø = angle, h = number of hours completed. and m = number of minutes.
ø = 30h – 11/2 m ----------when minute hand is in first 1/2 (between 12 to 6)
54 = 30 × 7 – 11/2 m
11/2 m = 156
m = 28.36 min = 28 4/11 min = 21.8 s.
at 7 hr 28 4/11 min
for other possibility
ø = 11/2 m – 30h ----------when minute hand is in second 1/2 (between 6 to 12)
54 = 11/2 m – 30 × 7
11/2 m = 264
m = 48 min
at 7 hr 48 min
Regards
Formula for angles between two hands of a clock
there are 2 possibilities
ø = angle, h = number of hours completed. and m = number of minutes.
ø = 30h – 11/2 m ----------when minute hand is in first 1/2 (between 12 to 6)
54 = 30 × 7 – 11/2 m
11/2 m = 156
m = 28.36 min = 28 4/11 min = 21.8 s.
at 7 hr 28 4/11 min
for other possibility
ø = 11/2 m – 30h ----------when minute hand is in second 1/2 (between 6 to 12)
54 = 11/2 m – 30 × 7
11/2 m = 264
m = 48 min
at 7 hr 48 min
Regards