Question

1. What is the angle subtended between an hour hand and a minute hand at 10:30?
(1) 180°
(2) 135°
(3) 130°
(4) 120°​

Answer 1

Answer:

I think (4)120degree it is writ most probably

Answer 2

Answer:

The angle subtended between hour and minute hand at 10.30 is 135°

Step-by-step explanation:

Given problem is about finding angle subtended between an hour hand and a minute hand at 10.30

⇒ 10 hrs 30 minutes = 10 + (30/60) = 10+ (1/2) = $\frac{21}{2}$ hrs  

⇒ we know that the angle traced by hour hand in 12 hrs = 360°

⇒ the angle traced by hour hand in 1 hr = 360/ 12 = 30°  

⇒ the angle traced by hour hand in $\frac{21}{2}$ hrs = $\frac{21}{2}$ × 30 = 315°

⇒ we know that the angle traced by minute hand in 60 minutes = 360°

⇒ the angle traced by minute hand in 1 minute = 360/60 = 6°

⇒ the angle traced by minute hand in 30 minutes = 6×30 = 180°

⇒ the angle subtended between an hour hand a minute hand at 10.30

                                 = 315° - 180° = 135°

⇒ the correct answer is option (2) 135°