Question

an accurate clock shows 10 o clock in the morning. through how may degrees will the hour hand rotate when the clock shows 7 o clock in the evening?

Answer 1

Answer:

210 degrees

Step-by-step explanation:

overall degree is 360.

and each hour has 360/12 = 12 degrees.

The hours between 10 and 5 is 7.(11,12,1,2,3,4,5);

Hence  7 x 30 = 210

Answer 2

The angle turned by the hour hand from 10 o'clock in the morning till 7 o'clock in the evening will be 270°.

Given,

The time that a clock shows initially = 10 o'clock in the morning.

To find,

Degrees by which the hour hand rotates when the time is 7 o'clock in the evening.

Solution,

Firstly, let's know how the angle turned by the hour hand of a clock is measured.

We know that the hour hand makes a complete revolution about the center in 12 hours.

So the angle turned by it, in 12 hours = 360°

⇒ in 1 hour $=\frac{360}{12}$

⇒ angle turned by the hour hand in 1 hour = 30°.

Now, it can be seen that,

the number of hours from 10 o'clock in the morning till 7 o'clock in the evening = 9 hours.

So, the angle turned by the hour hand shall be

= 9 × 30

= 270°.

Therefore, the angle turned by the hour hand from 10 o'clock in the morning till 7 o'clock in the evening will be 270°.

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