Answer:
75°
Step-by-step explanation:
Calculate the angle of the minute hand (θm)
The clock face is a circle of 360°, and there are 60 min in 1h,
So, the minute hand travels 6° in 1 min.
In 30 min, the minute hand will travel
θm = 30 × 6
= 180°
Calculate the angle of the hour hand (θh)
The hour hand travels 360° in 12 h, so it travels 30° in 1 h and 0.5° in 1 min.
It has travelled for 3 h + 30 min
θh = (3 × 30) + (30 × 0.5)
= 90 + 15
= 105°
Calculate the angle between the hands
θ = θm - θh
= 180 - 105
= 75°
The angle between the hands is 75°.
