SOLUTION: The measure of an angle formed by the hands of a clock at 2:15 is: (a) 7.5 degrees (b) 22.5 degrees (c) 27.5 degrees (d) 30 degrees (e) 37.5 degrees

Question 252534: The measure of an angle formed by the hands of a clock at 2:15 is:
(a) 7.5 degrees (b) 22.5 degrees (c) 27.5 degrees (d) 30 degrees (e) 37.5 degrees
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The measure of an angle formed by the hands of a clock at 2:15 is:
(a) 7.5 degrees (b) 22.5 degrees (c) 27.5 degrees (d) 30 degrees (e) 37.5 degrees
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Using 12 as zero degrees:
The minute hand is at 90 degs
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The hour hand moves 30 degs/hour, so it's at 30*2.25 degs = 67.5
90-67.5 = 22.5 degrees

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The measure of an angle formed by the hands of a clock at 2:15 is:
---
Draw the picture.
If 12:00 puts both hands at zero degrees,
at 2:15
Note: The hour hand is between 2 and 3; it is 1/4 of the way toward 3.
The hour hand is at (2/12)360 + (1/4)30 = 60+7.5 = 67.5 degrees.
The minute hand is at (3/12)360 = 90 degrees.
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The two hands form a 90-67.5= 22.5 degree angle
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Cheers,
Stan H.
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(a) 7.5 degrees (b) 22.5 degrees (c) 27.5 degrees (d) 30 degrees (e) 37.5 degrees

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