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How do I find the exact angle for b?

How do I find the exact angle for b?-example-1

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Answer:

107° 30'

Explanation:

As in part (a), the hour hand moves 30° per hour, so at 1:25, it has moved ...

(1 25/60)(30°) = 42.5°

from the vertical at noon.

Similarly, the minute hand moves 6° per minute, so at 1:25, it has moved ...

(25)(6°) = 150° from the vertical at 1 o'clock.

The exact angle difference is ...

150° -42.5° = 107.5° = 107° 30'

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