A hot air balloon flies 3000km on a bearing of 245 degree, calculate how far south and how far west it travels?
To calculate how far south and how far west the hot air balloon travels, we first need to break down the 3000km distance into its north-south and east-west components.
Using trigonometry, we can find the distance traveled south and west by the hot air balloon:
Distance traveled south = 3000km * sin(180° - 245°)
Distance traveled south = 3000km * sin(65°)
Distance traveled south ≈ 3000km * 0.9063
Distance traveled south ≈ 2718.9 km
Distance traveled west = 3000km * cos(180° - 245°)
Distance traveled west = 3000km * cos(65°)
Distance traveled west ≈ 3000km * 0.4226
Distance traveled west ≈ 1267.8 km
Therefore, the hot air balloon travels approximately 2718.9 km south and 1267.8 km west.