2020 · Q51
The difference between two angles is 15° and the sum of the angles in radian is 5π/12. The bigger angle is k times the smaller angle. What is k equal to?
Elementary MathematicsTrigonometry
- A4/3
- B3/2
- C6/5
- D7/6
Explanation
A-B = 15 and A+B = 75 degrees give A = 45, B = 30 degrees. So k = 45/30 = 3/2 - option (B). Adding the equations gives 2A = 90 and subtracting gives 2B = 60.