Mathematics

A plane tiles 90km on a bearing 030° and then flies 150km due east. How…

A plane tiles 90km on a bearing 030° and then flies 150km due east. How far east of the starting point is the plane?
  • A.
    120km
  • B.
    165km
  • C.
    195km
  • D.
    (150 + 45√3)km
  • E.
    240km
Correct Answer: Option C
Explanation

complete x as in the diagram. x/90 = sin30o
x = 90 x sin30 = 45o
∴Dist = 150 + 45 = 195km