Asked by Bob chunkey
What is the degree measure of the acute angle formed by the hour and minute hands at 2:16?
Answers
Answered by
mathhelper
let's consider "noon" on the clock as 0°, then 16 minutes will be at 96°
2:16 = 2 16/60 of an hour = 34/15 hours
each hour is represented by 30°
so the hour hand has moved (34/15)(30) or 68°
which means that the acute angle between the hands
= 96-68 °
= 28°
2:16 = 2 16/60 of an hour = 34/15 hours
each hour is represented by 30°
so the hour hand has moved (34/15)(30) or 68°
which means that the acute angle between the hands
= 96-68 °
= 28°
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