Convert (7395'') into degrees minutes seconds.
Answer and explanation
Correct answer: \(2^\circ 3'15''\)
Since \(1^\circ=3600''\), \(7395''=2\times3600''+195''\). Now, \(195''=3\times60''+15''=3'15''\). Therefore, \(7395''=2^\circ3'15''\), so option B is correct. Option C has an incorrect conversion of the remaining seconds into 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?
\(2^\circ 3'15''\)
Why is this the correct answer?
Since \(1^\circ=3600''\), \(7395''=2\times3600''+195''\). Now, \(195''=3\times60''+15''=3'15''\). Therefore, \(7395''=2^\circ3'15''\), so option B is correct. Option C has an incorrect conversion of the remaining seconds into 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.
