What is the angle between the hour hand and the minute hand at 5:45 pm?
Let the angles make by the hour and minute hands be θ₁ and θ₂ (consider 12 o'clock as 0°) respectively. θ₁ = (60H + M)/2 θ₂ = 6M At 5:45: θ₁ = (60 * 5 + 45)/2 = 172.5° θ₂ = 6 * 45 = 270° ∴ Angle between the hour and minute hands = 270 - 172.5 = 97.5°
