Asked by Which year is this waec question
An aeroplane flies a town X on a bearing of N45degreeE to another town Y, a distance from 200km. it then change course and flies to another town Z on a bearing of S60degreeE. If Z is directly east of X, calculate, correct to three significant figures; (a) the distance from Z to Y (b) the distance from Y to XZ
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Answered by
oobleck
you got part 2 wrong.
If we drop the altitude from Y to XZ, and label the foot W, then
in triangle YWZ, Y = 60°, Z = 30°
since YZ = 100√2, WZ = 100√2/√3, YZ = 200√2/√3 = 163.30
If we drop the altitude from Y to XZ, and label the foot W, then
in triangle YWZ, Y = 60°, Z = 30°
since YZ = 100√2, WZ = 100√2/√3, YZ = 200√2/√3 = 163.30
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