JAMB Mathematics 1987 Question 46

Question 46

Data Presentation

Taking the period of daylight on a certain day to be from 5.30 a.m to 7.00 p.m, calculate the periods of daylight and of darkness on that day.

  1. A.187°30', 172°30'
  2. B.135°, 225°
  3. C.202°30', 157°30'
  4. D.195°, 165°
Show the answer and explanation

Answer: C (202°30', 157°30')

Explanation

Daylight lasts 13½ hours out of 24, so its angle is 13.5/24 × 360° = 202.5° = 202°30'. Darkness is 360° − 202°30' = 157°30'.