Yes

you do need a jacket based on the weather in 2900 Hellerup, Denmark 1 second ago

Why? Because it's so windy, your hat is now someone else's problem, two cities away!
70°F21°C & Cloudy

Wind is 14 mph23 km/h from the Southeast, gusting to 25 mph41 km/h
September 10
7am70°F21°C14 mph23 km/h SoutheastCloudy
8am70°F21°C14 mph23 km/h SoutheastMostly Cloudy
9am70°F21°C14 mph22 km/h SoutheastPartly Cloudy
10am69°F21°C14 mph23 km/h SoutheastMostly Cloudy
11am68°F20°C13 mph21 km/h SoutheastDrizzle
12pm67°F20°C13 mph21 km/h SoutheastDrizzle
1pm67°F19°C12 mph19 km/h SoutheastDrizzle
2pm66°F19°C11 mph18 km/h SoutheastDrizzle
3pm65°F18°C10 mph16 km/h SoutheastDrizzle
4pm64°F18°C9 mph14 km/h SouthRain
5pm63°F17°C8 mph13 km/h SouthDrizzle
6pm62°F17°C7 mph12 km/h SouthCloudy
DateLowHighWindDayNight
September 962°F17°C70°F21°C13 mph21 km/h from SoutheastDrizzleRain
September 1059°F15°C69°F21°C7 mph12 km/h from SouthwestDrizzleDrizzle
September 1157°F14°C65°F18°C14 mph22 km/h from SouthwestDrizzleClear
September 1256°F13°C65°F18°C13 mph21 km/h from SouthMostly CloudyRain
September 1356°F13°C64°F18°C10 mph16 km/h from SouthwestDrizzleDrizzle
September 1457°F14°C67°F19°C17 mph27 km/h from SouthwestRainDrizzle
September 1556°F13°C63°F17°C16 mph26 km/h from SouthwestDrizzleDrizzle

No

Low of 59°F15°C, High of 69°F21°C
Wind: 7 mph12 km/h
Precipitation: 76% rain

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