At whay time btween 2pm and 3pm the angle between minute hand and hour hand is 120
Answers
Answer:
At 2:10:49 PM the angle between minute hand and hour hand is 120
Step-by-step explanation:
Angle A in degree is given by the formula
A= |30H-5.5M|
H= hours
and M= minute
120= |30×2-5.5M|
120= 60-5.5M
60= 5.5M
⇒M= 60/5.5
M= 10.8181 minutes
M= 10 minutes and 49 seconds.
So, At 2:10:49 PM the angle between minute hand and hour hand is 120
Answer:
At 2:32:43.6 will the hands of a clock form an angle of 120 degrees.
Step-by-step explanation:
At 2:32:43.6 will the hands of a clock form an angle of 120 degrees.
[5.5m = 120+60 = 180, or m = 180/5.5 = 32.72]
Formula:-
angle = (30*H) - (11/2 * M ), where H represents the hour hand and M represents the minute hand.
In this case, H is 3 and M is 50, thus using the formula we get
Angle = (30*3)- (11/2*50)= -185 degree.
In the case of clock problems, we consider (+) to be clockwise and (-) to be anticlockwise.
Steps for finding the formula
Movement of hour hand = (30*H)
In 1 min scenario:-
The angle between Minute hand goes
= 360/60= 6 degree.
The angle between Hour hand goes = 30/60 = 1/2 degree.
So Relative distance between a minute and an hour's hand
= (6–1/2) *M= 11/2*M.
Thus we have the formula as the angle between two hands of a clock as:-
(30*H) -(11/2*M).