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Sagot :
The smaller angle made by the hour hands of a clock at a given time is 137°30'. It is attained by using the concept of clocks on the problems.
What is a clock?
A clock is a device which is used for measuring and indicating the time. It has three hands, namely an hour hand, a minute hand and a second hand. A clock can be classified in two ways, one is a 12-hour clock and the other is a 24-hour clock.
Calculation of the smaller angle made by the hour hand
For minute hand,
60 min makes an angle 360°
1 min = 6°
25 min = 6° × 25
= 150°
For hour hand,
12 hours makes an angle 360°
1 hour = 30°
1 min = 30° / 60
= 1/2°
25 min = 1/2° × 25
= 12°30'
The smaller angle made by hour hand is given by 150° - 12°30'
=137°30'
Hence, the smaller angle between the hour hands is 137°30'.
To learn more about the clocks, visit here:
https://brainly.com/question/82007
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