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Convert (8430'') into degrees minutes and seconds.

Answer and explanation

Correct answer: \(2^\circ\,20'\,30''\)

One degree equals \(3600''\), and one minute equals \(60''\). Here, \(8430''=2\times3600''+1230''\), and \(1230''=20\times60''+30''\). Therefore, the angle is \(2^\circ\,20'\,30''\). Option B incorrectly interchanges the minutes and seconds. Exam tip: first divide total seconds by \(3600\) for degrees, then divide the remainder by \(60\) for minutes.

Related tags

TrigonometryAnglesDms ConversionDegree Minute SecondUnit ConversionTrigonometric FunctionsMathematicsClass 12 Mcq

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