Convert (3.25^\circ) into degrees and minutes.
Answer and explanation
Correct answer: \(3^\circ 15'\)
Convert the decimal part \(0.25^\circ\) into minutes by multiplying by \(60\): \(0.25\times 60=15'\). Therefore, \(3.25^\circ=3^\circ 15'\). The option \(3^\circ 20'\) would correspond to a decimal part of \(\frac{1}{3}^\circ\), not \(0.25^\circ\). Exam tip: multiply the decimal part of degrees by \(60\) to convert it into minutes.
Frequently asked questions
What is the correct answer to this question?
\(3^\circ 15'\)
Why is this the correct answer?
Convert the decimal part \(0.25^\circ\) into minutes by multiplying by \(60\): \(0.25\times 60=15'\). Therefore, \(3.25^\circ=3^\circ 15'\). The option \(3^\circ 20'\) would correspond to a decimal part of \(\frac{1}{3}^\circ\), not \(0.25^\circ\). Exam tip: multiply the decimal part of degrees by \(60\) to convert it into minutes.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
