You found a treasure map, and it's said: Starting at well walk 30m north, 20m 30°N of East, 15m 18°south west, and finally 10m north. How far is the treasure map from the well?
x=20⋅cos30°−15⋅cos18°=3.055 (m)x=20\cdot\cos30°-15\cdot\cos18°=3.055\ (m)x=20⋅cos30°−15⋅cos18°=3.055 (m)
y=30+20⋅sin30°−15⋅sin18°+10=45.365 (m)y=30+20\cdot\sin30°-15\cdot\sin18°+10=45.365\ (m)y=30+20⋅sin30°−15⋅sin18°+10=45.365 (m)
L=3.0552+45.3652≈45.5 (m)L=\sqrt{3.055^2+45.365^2}\approx45.5\ (m)L=3.0552+45.3652≈45.5 (m) . Answer
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