Question

If the sum of degrees minutes and Seconds of any angle is 43932. Find the angle in degree. please guys help me...


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Answer 1

The sum of number of degrees, minutes and seconds of an angle is 43932; find the angle in circular system. By question, M = 60D and S = 3600D. or, D = 12. Hence, the angle measures 12°

Let, D, M and S be the measure of the angle in degree, minute and second units respectively. Then by question,

D + M + S = 43932 ………….. (A)

Now, the value of the angle in degree unit = D

Therefore, the value of the angle in minute unit = 60D [Since, 1° = 60’]

And the value of the angle in second unit = 60 × 60 D

= 3600D [Since, 1’ = 60”]

By question, M = 60D and S = 3600D.

Now, putting the values of M and S in (A)

We get, D + 60D + 3600D = 43932

Or, 3661D = 43932

or, D = 43932/3661

or, D = 12.

Hence, the angle measures 12°.

Therefore, the value of the angle in circular system = 12 πc / 180 [As, 180° = πc] = πc/15.

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Answer 2

The sum of number of degrees, minutes and seconds of an angle is 43932; find the angle in circular system. By question, M = 60D and S = 3600D. or, D = 12. Hence, the angle measures 12°

Let, D, M and S be the measure of the angle in degree, minute and second units respectively. Then by question,

D + M + S = 43932 ………….. (A)

Now, the value of the angle in degree unit = D

Therefore, the value of the angle in minute unit = 60D [Since, 1° = 60’]

And the value of the angle in second unit = 60 × 60 D

= 3600D [Since, 1’ = 60”]

By question, M = 60D and S = 3600D.

Now, putting the values of M and S in (A)

We get, D + 60D + 3600D = 43932

Or, 3661D = 43932

or, D = 43932/3661

or, D = 12.

Hence, the angle measures 12°.

Therefore, the value of the angle in circular system = 12 πc / 180 [As, 180° = πc] = πc/15.