Question

-find the angle between the hands of the clock at 3:29am


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Answer 1

Step-by-step explanation:

Here we will show you how to calculate the angle in degrees made by the hour hand and minute hand on a 12-hour clock at 3:29.

Below is an image of what the clock looks like at three-twenty-nine (3:29) so that you can see where the hour hand and the minute hand are located.

Answer 2

The given question is to find the angle between the hands of the clock at 3:29 am.

we have to find the angle between the hands of the clock at 3:29 am.

In the question, the time is given as 3:29 am

Where 3 denotes the house and 29 denotes the minutes.

The formula to calculate the angle between the hands of the clock is

the angle =

$30 \times hours - \frac{11}{2} minutes$

substitute the values in the above formula we get the answer as

$30 \times 3 - \frac{11}{2} \times 29$

By mathematical operations such as Bodmas, where the abbreviation of BODMAS is Brackets, Orders, Division, Multiplication, Addition and Subtraction. we get the values as

$90 - \frac{319}{2}$

We have to take the LCM for the two terms, the LCM is 2.

Then on further proceedings, we get the values as

$\frac{180 - 319}{2} = \frac{ - 139}{2} \\ - 69.5$

The value obtained is - 69.5.

Therefore, the final answer to the given question

the angle between the hands of the clock at 3:29am is -69.5°

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