Convert (9050'') into degrees minutes seconds.
Answer and explanation
Correct answer: \(2^\circ 30' 50''\)
Since \(1^\circ=3600''\), \(9050''=2\times3600''+1850''\), giving \(2^\circ\). Next, \(1850''=30\times60''+50''\), so the remaining part is \(30'\ 50''\). Therefore, \(9050''=2^\circ 30' 50''\). Option B does not split the remaining seconds correctly into minutes and seconds. Exam tip: divide total seconds by \(3600\) first for degrees, then divide the remainder by \(60\) for minutes.
Frequently asked questions
What is the correct answer to this question?
\(2^\circ 30' 50''\)
Why is this the correct answer?
Since \(1^\circ=3600''\), \(9050''=2\times3600''+1850''\), giving \(2^\circ\). Next, \(1850''=30\times60''+50''\), so the remaining part is \(30'\ 50''\). Therefore, \(9050''=2^\circ 30' 50''\). Option B does not split the remaining seconds correctly into minutes and seconds. Exam tip: divide total seconds by \(3600\) first 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.
