# mathematics

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a boat sails 150km on a bearing of 42 degree and then 250km due east.how far is the boat from the starting point.

• mathematics -

d = 150km @ 42o + 250km @ 0o.

X = 150*cos42 + 250 = 361.5 km.
Y = 150*sin42 = 111.5 km.
D^2 = X^2 + Y^2 = 143,114.5
D = 378.3 km

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