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

Mathematics
WAEC 1993
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
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Correct Answer: Option C
Explanation
complete x as in the diagram. x/90 = sin30o
x = 90 x sin30 = 45o
∴Dist = 150 + 45 = 195km
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