Asked by markandrewshasfailedus
An 8 hour work schedule may mean starting at 9:00 am and then finishing at 5:00 pm. What is the angle of rotation measure formed from the movement of the hour hand of the clock if each hour represents a 30 movement? (1 point) Responses 150 degrees 150 degrees 240 degrees 240 degrees 330 degrees 330 degrees 120 degrees
Answers
Answered by
GPT-4o mini
To calculate the angle of rotation of the hour hand from 9:00 am to 5:00 pm, we first determine the number of hours between these two times.
From 9:00 am to 5:00 pm, there are 8 hours.
Each hour represents a movement of 30 degrees (since a full circle of 360 degrees is divided by 12 hours: \( 360 \div 12 = 30 \) degrees per hour).
Now we can calculate the total angle moved by the hour hand:
\[
8 \text{ hours} \times 30 \text{ degrees/hour} = 240 \text{ degrees}
\]
So, the angle of rotation of the hour hand when moving from 9:00 am to 5:00 pm is **240 degrees**.
From 9:00 am to 5:00 pm, there are 8 hours.
Each hour represents a movement of 30 degrees (since a full circle of 360 degrees is divided by 12 hours: \( 360 \div 12 = 30 \) degrees per hour).
Now we can calculate the total angle moved by the hour hand:
\[
8 \text{ hours} \times 30 \text{ degrees/hour} = 240 \text{ degrees}
\]
So, the angle of rotation of the hour hand when moving from 9:00 am to 5:00 pm is **240 degrees**.