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Convert (4585'') into degrees minutes seconds.

Answer and explanation

Correct answer: \(1^\circ 16' 25''\)

Since \(1^\circ=3600''\) and \(1'=60''\), \(4585''=3600''+985''=1^\circ+985''\). Now, \(985''=16\times60''+25''=16'25''\). Therefore, \(4585''=1^\circ16'25''\). Option B incorrectly leaves \(5''\); the correct remainder is \(25''\). Exam tip: first divide seconds by \(3600\), then divide the remaining seconds by \(60\).

Related tags

Trigonometric FunctionsAnglesDegree Minute SecondAngle ConversionSexagesimal SystemMathematicsClass 12 Mcq

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