Question

An accurate clock shows 2 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 9 o’clock in the evening?​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The answer to this question will be 570°.

Given,

A clock shows 2 o'clock in the morning and then 9 o'clock in the evening.

To Find,

Through how many degrees will the hour hand rotate?

Solution,

This question can be solved by following these simple steps.

Total degrees in one full rotation = 360°

Degrees rotated in one hour = 360° ÷ 12 = 30°

The number of hours between 2 a.m and 9 p.m = 19 hours.

(∵ hours between 2 a.m and 2 p.m is 12 hours and between 2 p.m and 9 p.m is 7 hours. So, 12 hours + 7 hours = 19 hours.)

So, the number of degrees rotated = Degrees rotated in one hour × The number of hours between 2 a.m and 9 p.m.

= (19 × 30)° = 570°

Therefore, the clock will rotate 570° between 2 o’clock in the morning and  9 o’clock in the evening.

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