The upper stroke 一 can be seen as horizon, with a variation of sun 日 and two legs 儿, which here stand for a downward motion: Below the horizon sinks the sun (at sunset) in the west.
Tip: Go to the radicals that are contained in this character and learn all the characters with this radical systematically!
Vocabulary
西
にし
west
7350
西南
せいなん
southwest
7351
関西
かんさい
Kanzai (west part of main island Honshu)
6240
西洋
せいよう
the west, Western countries
5359
東西
とうざい
East and West, whole country, Orient and Occident, Your attention please
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