Question

The larger of two angles made by the hour hand and the minute hand of a clock at 7:29:30 is

Answer 1

Answer:

312.25‬°

Step-by-step explanation:

7:29:30

Hour hand rotates 360°  in 12 hrs

=> 360°  in 720 mins

=> 0.5°  per Min

7 : 29 : 30

= 420 + 29 + 0.5

= 449.5 mins

Rotation of hour hand = 449.5 * 0.5  = 224.75°

Minute hand rotates 360°  in 1 hr

=> 360°  in 60 mins

=> 6°  per min

29 : 30  = 29.5 mins

Rotation of Minute hand = 29.5 * 6  = 177°

angles made by the hour hand and the minute hand of a clock  =  224.75° -  177° = 47.75°

Larger angles made by the hour hand and the minute hand of a clock  = 360 - 47.75° = 312.25‬°