The Earth makes a complete rotation about its axis in 24 hours. Through what angle will it turn in 3 hours 30 minutes?

52.5°

Total minutes in 24 hours = 24 × 60 = 1440 minutes

Total minutes in 3 hours 30 minutes = 3 × 60 + 30 = 210 minutes

Total distance covered in 1440 minutes = 360º

Distance covered in 1 minute = \(\frac{360º}{ 1440}\)

Distance covered in 210 minute = \(\frac{360º}{ 1440}\) × 210

= 52.5º