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Sagot :
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.
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