Question

find the exect time when the angle between hour hand and minute hand of a clock will we 44°for the 1st time after 12 O'clock​

Answer 1

Answer:

The exect time would be

12: 08

6: 22

Given Data:  

When the angle between hour hand and minute hand of a clock will we 44°for the 1st time after 12 O'clock  

To find:

Calculate the exact time

Step-by-step explanation:

Step 1:

Angle $44^{\circ}$m after 12 O' Clock for 1st time between hour-hand and the minute-hand

A minute Hand moves $360^{\circ}$ in 1 hr

Step 2:

$=> 6^{\circ}$ Every 1 min

& Hour Hand move $30^{\circ}$in 1 hr

Step 3:

$=> 0.5^{\circ}$ Every 1 Min

Angle between Hr hand & Minute hand in 1 minute

= 6 - 0.5

$=5.5^{\circ}$

Step 4:

so 44° angle will be in $\frac{44}{5.5}$= 8 Mins

Time would be 12: 08

Step 5:

Angle $59^{\circ}$after 6 O' Clock for 1st time between hour-hand and the minute-hand

Initially angle $= 180^{\circ}$ to get angle $59^{\circ}$.

Step 6:

$=> 180^{\circ}-59^{\circ}=121^{\circ}$ movement required between hr hand & minute hand

Let say T minutes are Taken

Step 7:

Result:

$=\frac{121}{5.5}$

= 22

Time Would be 6 : 22.