Question

Find the angle between the minute hand and hour hand of a clock when time is 7:20

Answer 1

Answer:

45 degree

Step-by-step explanation:

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Answer 2

Answer:

The angle between the minute hand and hour hand of a clock when time is 7:20 is 100 degree

Step-by-step explanation:

Let us recall a few basic facts of clocks, so they are-

• The complete rotation of a needle makes 360 degrees in a clock.
• There are a total of 12 big divisions
• And making each division of $\dfrac{360}{12}$= 30 degrees.

Now,

At 7:20, big needle at 4 in clock and the small needle is slightly shifted from the 7

so, we have to find the angle makes between the small and the large needle

And each hour makes 30 degrees of angle

therefore, between 7 and 4, there is 3 hours and each hour maker 30-degree angle then the 3 hour makes 90 degrees of angle

Now, the small needle is slightly away from the 7

and each hour makes a 30-degree angle, therefore, every 2 minutes takes 1 degree of angle

And the small needle is 10degree away from 7 because 20 minutes makes 10degree of angle

Hence, total angel at 7:20 is 10 + 90 = 100 degree