If it is 9:00 am at the Greenwich Meridian, what is the local time in Los Angeles (longitude 118°W)?

Step 1: Calculate the time difference based on the longitude. The Earth rotates 15^ per hour. Los Angeles is at 118^ West longitude. The time difference is calculated as: Time difference = Longitude difference15^/hour Time difference = (118^)/(15^/hour) Time difference = 7 (13)/(15) hours Step 2: Convert the fractional part of the hour to minutes. (13)/(15) hours × 60 minutes/hour = 13 × 4 minutes = 52 minutes So, the total time difference is 7 hours and 52 minutes. Step 3: Determine the local time in Los Angeles. Since Los Angeles is West of the Greenwich Meridian, its local time will be earlier than the time at the Greenwich Meridian. Greenwich time = 9:00 am. Local time at Los Angeles = Greenwich time - Time difference Local time at Los Angeles = 9:00 am - 7 hours 52 minutes To subtract, we can think of 9:00 am as 8 hours and 60 minutes. (8 hours 60 minutes) - (7 hours 52 minutes) = 1 hour 8 minutes Therefore, the local time in Los Angeles is 1:08 am. The local time at Los Angeles is 1:08 am. Send me the next one 📸