At 5:20 what type of angle is formed between the two hands of a clock?...
Explanation:
The face of a clock is divided into 12 equal parts, representing the hours of the day. The hour hand and minute hand of a clock move continuously, indicating the time. At 5:20, the minute hand is pointing at the 4th minute mark, and the hour hand is pointing at the 5th hour mark.
Acute Angle:
An acute angle is an angle that measures less than 90 degrees. In this case, the angle formed between the hour hand and the minute hand is less than 90 degrees.
Obtuse Angle:
An obtuse angle is an angle that measures between 90 and 180 degrees. In this case, the angle formed between the hour hand and the minute hand is less than 90 degrees, so it cannot be an obtuse angle.
Right Angle:
A right angle is an angle that measures exactly 90 degrees. In this case, the angle formed between the hour hand and the minute hand is less than 90 degrees, so it cannot be a right angle.
Reflex Angle:
A reflex angle is an angle that measures between 180 and 360 degrees. In this case, the angle formed between the hour hand and the minute hand is less than 90 degrees, so it cannot be a reflex angle.
Therefore, the correct answer is option C) An acute angle.
At 5:20 what type of angle is formed between the two hands of a clock?...
Explanation:
To determine the type of angle formed between the two hands of a clock at 5:20, we need to understand the positions of the hour hand and the minute hand.
- At 5:00, the hour hand points directly at the 5 on the clock, while the minute hand points at the 12.
- From 5:00 to 5:20, the hour hand moves slightly but does not reach the next hour mark.
- The minute hand, however, moves 1/3 of the way between the 4 and the 5 on the clock.
Acute Angle:
- An acute angle is any angle that measures less than 90 degrees.
- In this case, the angle between the hour hand and the minute hand at 5:20 is less than 90 degrees.
- Therefore, the correct answer is option 'C' - an acute angle.
Other Possible Angles:
- An obtuse angle measures greater than 90 degrees but less than 180 degrees. This is not the case at 5:20.
- A right angle measures exactly 90 degrees. This is not the case at 5:20.
- A reflex angle measures greater than 180 degrees but less than 360 degrees. This is not the case at 5:20.
Therefore, the only appropriate answer is option 'C' - an acute angle.
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