Answer:
Step-by-step explanation:
To find the coordinates at the end of the minute hand on a clock at different times, we can use trigonometry.
When the length of the minute hand is 4 inches:
1. 30 minutes after the hour:
At 30 minutes, the minute hand moves half of the clock face, which is 180 degrees. Using trigonometry, we can calculate the coordinates:
So, the coordinates are (-4, 0).
2. 50 minutes after the hour:
At 50 minutes, the minute hand moves
of the clock face, which is
. Calculating the coordinates:
The coordinates are approximately (-2, -3.46).
3. 5 minutes after the hour:
At 5 minutes, the minute hand moves
of the clock face, which is
. Calculating the coordinates:
The coordinates are approximately (3.46, 2).
When the length of the minute hand is 20 inches:
Using the same approach with a 20-inch minute hand:
1. 30 minutes after the hour:
The coordinates are (-20, 0).
2. 50 minutes after the hour:
The coordinates are approximately (-10, -17.32).
3. 5 minutes after the hour:
The coordinates are approximately (17.32, 10).
These calculations help determine the coordinates at the end of the minute hand for different times and lengths accurately using trigonometry.
What would you like to do next?
