Question

Найдите угол между минутной и часовой стрелкой на часах перед городским бассейном, если часы показывают 19:00? (в ответе запишите только число без единиц измерений)

Answer 1

19:00 - 7 часов вечера

Угол между 12:00 и 6:00 часами - ровно 180° (смотри схему 1)

Если мысленно провести 5 прямых (от центра к каждому часу - 1, 2, 3 и до 6), то получим 6 равных углов по 180 : 6 = 30° каждый

Тогда, угол между минутной и часовой стрелкой будет равен

360° - 30° - 180° = 150°

Ответ:  150°  ИЛИ  210°  (зависит от того, внутренний или внешний угол просят найти)

Answer 2

Finding the Angle Between the Minute and Hour Hands on a Clock

To find the angle between the minute and hour hands on a clock, we need to determine the positions of both hands at the given time of 19:00.

The minute hand completes a full rotation every 60 minutes, which means it moves 360 degrees in that time. At 19:00, the minute hand points directly at the 12 o'clock position, which corresponds to 0 degrees.

The hour hand moves at a slower rate, completing a full rotation every 12 hours. In 60 minutes, the hour hand moves 1/2 degree (360 degrees divided by 12 hours multiplied by 60 minutes). At 19:00, the hour hand is between the 6 and 7 o'clock positions, closer to the 7 o'clock position.

To calculate the angle between the minute and hour hands, we need to determine the difference in their positions. Since the minute hand is at 0 degrees and the hour hand is closer to the 7 o'clock position, the angle between them is approximately 210 degrees.

Please note that this calculation assumes a standard 12-hour analog clock. If you are referring to a different type of clock or a digital clock, the calculation may be different.