Find the percentage change in angle between minute hand hour hand from...
At 2 PM angle between minute hand and hour hand is 60° and that at 6 PM is 180° hence percentage change is 200%.
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Find the percentage change in angle between minute hand hour hand from...
To find the percentage change in the angle between the minute hand and hour hand from 2 PM to 6 PM, we need to calculate the angles at both times and then find the percentage change.
Angle Calculation:
1. At 2 PM, the hour hand will be at the 2-hour mark, which is 60 degrees. The minute hand will be at the 12-hour mark, which is 0 degrees.
2. The minute hand moves 360 degrees in 12 hours, so in 4 hours (from 2 PM to 6 PM), it will move 360 * (4/12) = 120 degrees.
3. The hour hand moves 30 degrees in an hour, so in 4 hours, it will move 30 * 4 = 120 degrees.
Angle at 6 PM:
1. The hour hand will be at the 6-hour mark, which is 180 degrees.
2. The minute hand will be at the 12-hour mark, which is 0 degrees.
Calculating the percentage change:
1. At 2 PM, the angle between the hour hand and minute hand is 60 - 0 = 60 degrees.
2. At 6 PM, the angle between the hour hand and minute hand is 180 - 0 = 180 degrees.
3. The change in angle is 180 - 60 = 120 degrees.
4. The percentage change is (120/60) * 100 = 200%.
Therefore, the correct answer is option B) 200%.