Question

at what time between 2 and 3 the acute angle between the hour hand and the minute hand will be 50 degree

Answer 1

Answer: Therefore, at 2:20, the acute angle between the hour hand and the minute hand would be 50 degree.

Step-by-step explanation:

According to the question, the hour hand should be in between 2 and 3.

We know there are 12 segments in a clock and each segment is equal to 30 degree.

To make a difference of 50 degree between hour hand and minute hand, we need to take the position of minute hand at 4.

Now, we check whether they make an angle of 50 degree or not.

The formula of determining angle between hour hand and minute hand is given as follow:

Angle= rough measure of angle between hour hand and minute hand +/- half of minutes

So, we have

Angle= 2x30-20/2=50        (We take minus sign as the hour hand approaches to minute hand thus contracting the angle between hour hand and minute hand)

Therefore, minute hand would be at 4 such that the clock shows 2:20.