The bearing of Y from X is 065 degrees. The bearing of Z from X is 030 degrees. XY is 15km and XYZ = 90 degrees. Work out a) XZY b) the distance YZ Is XZY 35 or 60? Or neither? I tried subtracting 90 from 30, and 65 from 30, and got those answers. Please help guys :)
If you carefully draw it out you will find that the angle YXZ is the difference in the bearings of 65 and 30. YXZ = 65 - 30 = 35 degrees as XYZ is a right angle or 90 degrees and we know the sum of interior angles on a triangle = 180 degrees, then XZY must = 180 - 90 - 35 = 55 degrees the length YZ can be found from the tangent function tan(XYZ) = opp/adj tan 35 = YZ/15 YZ = 15tan35 = 10.5 km
