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Answer:
7.66 km
Step-by-step explanation:
Let distance village is ; north of O = x
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Opposite = x
Hypotenus = 10
θ = 50°
Sin50 = x / 10
0.7660444 = x / 10
x = 0.7660444 * 10
x = 7.6604444
x = 7.66