Clock angles - 3

Geometry Level 3

It is 8:42a.m. now. How many minutes more should I wait for so that the smaller angle between the hour hand and the minute hand is 3 5 ∘ 35^{\circ} ?


The answer is 8.

Daniel Lim by Daniel Lim , 21, Singapore

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3 solutions

Knowing -theta= 30h-11m/2 Then we also know that h=8 solving for m gives 50 thus 50-42 =8

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Ramiel To-ong
Sep 15, 2015

USING FOX' FORMULA,

AT 8:50 THE DEGREE IS 35

SO THE TIME TO WAIT IS 8 MINUTES

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Rajen Kapur
Aug 29, 2014

At 8:00a.m. the difference between the two hands is 240deg, which changes at the rate of 5.5deg / min, and at 8:50a.m. it is 275deg, that is 35deg more.

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