Convert (18.5^\circ) into degrees and minutes.
Answer and explanation
Correct answer: 18° 30′
Convert the decimal part 0.5° into minutes by multiplying it by 60: \(0.5\times 60'=30'\). Therefore, \(18.5^\circ=18^\circ 30'\). Option A has 15′, which equals \(0.25^\circ\), so it is not correct. Exam tip: To convert the decimal part of a degree into minutes, always multiply it by 60.
Frequently asked questions
What is the correct answer to this question?
18° 30′
Why is this the correct answer?
Convert the decimal part 0.5° into minutes by multiplying it by 60: \(0.5\times 60'=30'\). Therefore, \(18.5^\circ=18^\circ 30'\). Option A has 15′, which equals \(0.25^\circ\), so it is not correct. Exam tip: To convert the decimal part of a degree into minutes, always multiply it by 60.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.