Question

Find the angle between the hours and minute hand at 7:20 pm.... its not that easy it looks

Answer 1

Heya!!Here is your answer friend ⤵⤵
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⏪The formula for calculating the angle is ,

$|30 \: h - \frac{11}{2}min | \\ so \: here \: we \: have \\ 30 \times 7 - \frac{11}{2 } \times 20 \\ 210 - 110 \\ = 100$
So , the angle formed is 100 degrees .


Hope it helps you ✌✌

Answer 2

At exactly 7:00 be our reference. Let's start our observation here - Start time and start position.

Minute hand — 0 deg.

Hour hand — 210 deg.

By 7:20, the minute hand is 120 degs ahead from its start position -

Minute hand — 0 + 120 degs

In this duration, hour hand had moved some angle ahead, say x degs.

Hour hand — 210 + x degs

Then the angle between minute and hour hand becomes -

(210 + x) - (0 + 120) = 90 + x

So if we find x, we get the answer. x is the angle moved by hour hand in 20 mins. In 60 mins, hour hand moves by 30 degs, so in 20 mins it must move by 20*(30/60) = 10 degs. So x = 10

Therefore the required angle is 90 + 10 = 100 degs.

This can be solved faster if we consider relative speed of min hand compared to second hand.