At what time between 4 o clock and 5 o clock is the angle between the minute and hour hand 180 degrees?
Answers
Answered by
2
Answer:
60 minutes
Step-by-step explanation:
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Answered by
0
θ=
2
11
m−30h,
here θ=30
o
,h=4,m
⇒11m=60h+2θ
⇒m=
11
60h+2θ
=
11
60×4+2×30
=
11
240+60
=
11
300
=27
11
3
min past 4.
θ=30h−
2
11
m
11m=60h−2θ⇒m=
11
60h−2θ
⇒
11
60×4−2×30
=
11
240−60
=
11
180
=16
11
4
min pas 4 O'clock
Therefore, the angle between the two hands is 30
o
when the time is 4 hours 16
11
4
min and 4 hours 27
11
3
min.
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