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Mathematics 11 Online
OpenStudy (anonymous):

Find the angle between the hands of a clock at 6:15

OpenStudy (anonymous):

90 degrees

OpenStudy (anonymous):

|dw:1363644909968:dw|

OpenStudy (anonymous):

90 degree angle

OpenStudy (anonymous):

right angle

OpenStudy (anonymous):

lol and it's 6 15 right now

OpenStudy (anonymous):

can you explain how you got that?

OpenStudy (anonymous):

|dw:1363644998916:dw|

OpenStudy (mathstudent55):

It's not exactly 90 degrees. The minutes hand at 3 is in a horizontal position, but the hours hand is not exactly pointing vertically down because at 15 past the hour, the hours hand has advanced a little past the 6.

OpenStudy (anonymous):

ok every one thanks

OpenStudy (mathstudent55):

|dw:1363645826870:dw| At 6:15 the hours hand has advanced 1/4 of the way between the 6 and the 7. Since the entire circle of 360 degrees represents 12 hours, each hour is 30 degrees. Each 15 minutes is 1/4 hour, so it's 7.5 degrees. At 6:15, the hours hand is 7.5 degrees past vertically down. At 15 past any hour, the minutes hand is exactly on the 3, so the angle between hands at 6:15 is 97.5 degrees.

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