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.
Frequently asked questions
What is the correct answer to this question?
\(2^\circ\,20'\,30''\)
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
