Class 5 Exam > Class 5 Questions > When it is 10 : 30, what kind of angle is for...
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When it is 10 : 30, what kind of angle is formed by the hands of the clock?
- a)Acute
- b)Obtuse
- c)Right
- d)Straight
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
When it is 10 : 30, what kind of angle is formed by the hands of the c...
Here the angle between any two consecutive numbers in a clock is 30∘.
Now we know that when time is 30 minutes, then the minute clock will be at 6.
And when time is 10:30, the hour clock will be between 10 and 11. Let us draw a clock here for better understanding.
Now we know that when time is 30 minutes, then the minute clock will be at 6.
And when time is 10:30, the hour clock will be between 10 and 11. Let us draw a clock here for better understanding.
Now the number of parts (number) between 6 to 10 are 4. So an angle between 6 and 10 will be 4×30∘=120∘4×30∘=120∘. Similarly, there are 5 parts between 6 to 11. So the angle between 6 and 11 will be 5×30∘=150∘5×30∘=150∘.
Hence our angle will be between 120∘ and 150∘120∘ and 150∘ and it will be exactly in middle of 10 and 11, so angle will be equal to 120∘+150∘2=270∘2=135∘120∘+150∘2=270∘2=135∘.
Hence our required angle between the hands of a clock as 10:30 is 135∘.
Since 135∘ is greater than 90∘ so it is an obtuse angle.
Hence our angle will be between 120∘ and 150∘120∘ and 150∘ and it will be exactly in middle of 10 and 11, so angle will be equal to 120∘+150∘2=270∘2=135∘120∘+150∘2=270∘2=135∘.
Hence our required angle between the hands of a clock as 10:30 is 135∘.
Since 135∘ is greater than 90∘ so it is an obtuse angle.
Most Upvoted Answer
When it is 10 : 30, what kind of angle is formed by the hands of the c...
Here the angle between any two consecutive numbers in a clock is 30∘.
Now we know that when time is 30 minutes, then the minute clock will be at 6.
And when time is 10:30, the hour clock will be between 10 and 11. Let us draw a clock here for better understanding.
Now we know that when time is 30 minutes, then the minute clock will be at 6.
And when time is 10:30, the hour clock will be between 10 and 11. Let us draw a clock here for better understanding.
Now the number of parts (number) between 6 to 10 are 4. So an angle between 6 and 10 will be 4×30∘=120∘4×30∘=120∘. Similarly, there are 5 parts between 6 to 11. So the angle between 6 and 11 will be 5×30∘=150∘5×30∘=150∘.
Hence our angle will be between 120∘ and 150∘120∘ and 150∘ and it will be exactly in middle of 10 and 11, so angle will be equal to 120∘+150∘2=270∘2=135∘120∘+150∘2=270∘2=135∘.
Hence our required angle between the hands of a clock as 10:30 is 135∘.
Since 135∘ is greater than 90∘ so it is an obtuse angle.
Hence our angle will be between 120∘ and 150∘120∘ and 150∘ and it will be exactly in middle of 10 and 11, so angle will be equal to 120∘+150∘2=270∘2=135∘120∘+150∘2=270∘2=135∘.
Hence our required angle between the hands of a clock as 10:30 is 135∘.
Since 135∘ is greater than 90∘ so it is an obtuse angle.
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When it is 10 : 30, what kind of angle is formed by the hands of the c...
Obtuse
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