Clock Angles - 2

Geometry Level 3

At 5.14p.m., John looks at his clock again. He finds that the smaller angle between the hour hand and the minute hand is x x^{\circ}

Find x x


The answer is 73.

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2 solutions

Ramiel To-ong
Sep 15, 2015

using a formula X = 30( 5 - 14/5) + 14/2

X = 73

Azadali Jivani
Aug 24, 2015

At 5.00 p.m., small angle b/w M hand & H hand = 150 degree
After 14 min. M hand move(cover) = 84 degree (360/60 * 14 = 84)
vice versa H hand move = 7 degree (30 *84/360 = 7 degree )
So, 150 - 84 + 7 = 73(Ans.)


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