WAEC - Mathematics (1993 - No. 27)

A plane tiles 90km on a bearing 030° and then flies 150km due east. How far east of the starting point is the plane?

120km

165km

195km

(150 + 45√3)km

240km

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