Skills for the job

Steeple Clock

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(Bonus question): The minute hand of a steeple clock is 4 feet long and the hour hand is 3 feet long: How fast is the distance between the tips of the hands changing at 3 0 clock? (Hints: Use the law of cosines to compute the distance between the tips of the hands The rates of change of the angle between the hands can be computed since the rate of each hand (radians per minute) is known.)

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