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Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?
A 12:00
B 3:00
C 2:00
D 6:00?
A 12:00
B 3:00
C 2:00
D 6:00?
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Marks: 2) At which of the following times is the angle between the hou...
Understanding Acute Angles Between Clock Hands
To determine when the angle between the hour and minute hands of a clock is acute, we need to analyze each given time. An acute angle is less than 90 degrees.
Time Analysis
- 12:00
- At 12:00, the hour and minute hands are aligned, forming a 0-degree angle.
- This is an acute angle.
- 3:00
- At 3:00, the hour hand is on the 3, and the minute hand is on the 12.
- The angle formed is 90 degrees, which is not acute.
- 2:00
- At 2:00, the hour hand is slightly past the 2, and the minute hand is on the 12.
- The angle formed is 60 degrees, which is acute.
- 6:00
- At 6:00, the hour hand is on the 6, and the minute hand is on the 12.
- The angle formed is 180 degrees, which is not acute.
Conclusion
The acute angles occur at the following times:
- 12:00 (0 degrees) – Acute
- 2:00 (60 degrees) – Acute
The times when the angle between the hour hand and minute hand is acute are 12:00 and 2:00. Thus, the answer to the question is C) 2:00 and A) 12:00.
To determine when the angle between the hour and minute hands of a clock is acute, we need to analyze each given time. An acute angle is less than 90 degrees.
Time Analysis
- 12:00
- At 12:00, the hour and minute hands are aligned, forming a 0-degree angle.
- This is an acute angle.
- 3:00
- At 3:00, the hour hand is on the 3, and the minute hand is on the 12.
- The angle formed is 90 degrees, which is not acute.
- 2:00
- At 2:00, the hour hand is slightly past the 2, and the minute hand is on the 12.
- The angle formed is 60 degrees, which is acute.
- 6:00
- At 6:00, the hour hand is on the 6, and the minute hand is on the 12.
- The angle formed is 180 degrees, which is not acute.
Conclusion
The acute angles occur at the following times:
- 12:00 (0 degrees) – Acute
- 2:00 (60 degrees) – Acute
The times when the angle between the hour hand and minute hand is acute are 12:00 and 2:00. Thus, the answer to the question is C) 2:00 and A) 12:00.
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Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00?
Question Description
Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00?.
Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Marks: 2) At which of the following times is the angle between the hour hand and minute hand an acute angle?A 12:00B 3:00C 2:00D 6:00?.
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