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The angle between the minute hand and the hour hand of a clock

Question

The angle between the minute hand and the hour hand of a clock when the time is $8 : 25$ am, is

10 7^{0} 3 0^{'}

10 5^{0}

10 2^{0} 3 0^{'}

9 2^{0} 4 5^{'}

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The angle between the minute hand and the hour hand of a clock when the time is

8 : 25

am, is

10 mins ago

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Text solutionVerified

Angle traced by the hour hand in

12

hours =

36 0^{0}

Angle traced by the hour hand in

8 \frac{25}{60}

hours =

(\frac{360}{12} \times \frac{101}{12})^{0} = (\frac{505}{2})^{0} = 252. 5^{0}

Angle traced by the minute hand in

60

min =

36 0^{0}

Angle traced by the minute hand in

25

min =

(\frac{360}{60} \times 25)^{0} = 15 0^{0}

Angle between the two hands =

(252. 5^{0} - 15 0^{0}) = 102. 5^{0}

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Question Text	The angle between the minute hand and the hour hand of a clock when the time is $8 : 25$ am, is
Answer Type	Text solution:1
Upvotes	150