Question 35

A clock is showing 12:00. After what time will the angle between the minute hand and the hour hand be $$90^o$$?

Solution

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Angle = [(11 / 2) M - 30 H]

SInce the hour hand at 12, we put H = 0.

Let's find the value of M. 90 = (11/2)M

M = 180/11 = 16.36

16 min 21sec

Minutes and hours hand will be $$90^o$$ far when the angle between the is $$270^o$$.

270 = (11/2)M

M = 49.09

This is 49 min 5sec

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