A town y is 200km from town x in a direction 040 degree. How far is y east of x?

Answer 1

It is convenient to use the Cartesian coordinates with x due east, and y due north.
Then 040 (bearing) is N40°E, which in the Cartesian system is θ=90-40=50° counterclockwise from the x-axis.
Then we apply the standard formulae:
δx=rcos(θ) (due east positive)
δy=rsin(θ) (due north positive).
where r is the distance = 200 km.

Answer 2

can another method be used pls?

Answer 3

A town of Y is 200kilometer from X in a direction 040. How far is Y east of X. Please show with working. Thanks

Answer 4

128.6km

Answer 5

Anthony show me the workings