Question

The angle in your wrist watch at 10 hours, 22 minutes will be

• A. 174°
• B. 175°
• C. 179°
• D. 182°

Answer 1

Answer:

C. 179°

Solution: Given: Your wrist watch at 10 hours, 22 minutes. Formula Used: The angle between the hour hand and minutes hand θ = (30H - 11 M/2) Calculation: Here, M = 22, H = 10 By using the above formula θ = |30 × 10 - (11/2) × 22| θ = |300 - 121| θ = 179° ∴ The correct answer is 179° Alternate Method Angle made by minuts hand in 22 minuts = (360/60) × 22 = 132° Now, hour hand makes an angle 360° in 720 minuts. Total number in minuts at 10 hours, 22 minutes ⇒ 10 × 60 + 22 = 622 So, angle made by hour hand at 10 hours, 22 minutes ⇒ (360°/720°) × 622 = 311° Angle made between the minuts hand and the hour land ⇒ 311° - 132° = 179° ∴ The correct answer is 179°