Class 5 Exam > Class 5 Questions > At 3:25, the smaller angle formed between the...
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At 3:25, the smaller angle formed between the two hands of a clock is ____.
- a)Obtuse
- b)Acute
- c)Right
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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At 3:25, the smaller angle formed between the two hands of a clock is ...
Most Upvoted Answer
At 3:25, the smaller angle formed between the two hands of a clock is ...
Explanation:
To find the smaller angle formed between the two hands of a clock at 3:25, we need to determine the positions of both hands and calculate the angle between them.
Position of the Hour Hand:
At 3:25, the hour hand will be pointing between the 3 and 4 on the clock. Since it is 25 minutes past 3, the hour hand will be slightly closer to the 4.
Position of the Minute Hand:
The minute hand at 3:25 will be pointing directly at the 5 on the clock, as it represents 25 minutes.
Calculating the Angle:
To calculate the angle between the two hands, we need to find the difference between their positions.
Let's assume that the angle is formed by the hour hand and the minute hand going in a clockwise direction. We can calculate the angle using the formula:
Angle = (|30H - 11/2M|) degrees
where H is the hour and M is the minutes.
In this case,
H = 3
M = 25
Angle = (|30 * 3 - 11/2 * 25|)
= (|90 - 137.5|)
= (|90 - 137.5|)
= 47.5 degrees
Identifying the Answer:
Based on the calculated angle of 47.5 degrees, we can conclude that the smaller angle formed between the two hands of the clock at 3:25 is an acute angle. Therefore, the correct answer is option 'B' (Acute).
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At 3:25, the smaller angle formed between the two hands of a clock is ...
The correct answer is B, I have recently answer the other question like this.
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