Math Problem Statement
Solution
The image contains a question in Gujarati asking about the angle between the hour and minute hands of a clock at 8:00. The provided options are:
- A) 120°
- B) 230°
- C) 180°
- D) 80°
Let's solve this:
At 8:00, the hour hand is at the 8, and the minute hand is at the 12. Each number on the clock represents 30 degrees (since ).
- The hour hand at 8 is from the 12 o'clock position.
- The minute hand at 12 is at 0 degrees.
The difference between the two hands is: However, since the clock is circular, we take the smaller angle, which is:
So, the correct answer is A) 120°.
Would you like more details or have any questions?
Here are 5 related questions:
- What is the angle between the hands at 3:00?
- How does the hour hand's position change over time?
- What is the formula to calculate the angle between the hands of a clock at any given time?
- How would the answer change if the time was 8:30 instead of 8:00?
- Can the angle between clock hands ever be more than 180 degrees?
Tip: Always subtract the calculated angle from 360° if the angle is more than 180° to find the smaller angle between clock hands.
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Math Problem Analysis
Mathematical Concepts
Clock angles
Geometry
Formulas
Angle between hour and minute hands = |(30 * hour - 5.5 * minutes)|
Angle of each hour = 360° / 12
Theorems
Basic properties of angles in circles
Suitable Grade Level
Grades 5-7
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