Question

f the bearing of y from x is 150 and the bearing of z from y is 55 the distance between x and z is 96 km and the distance of y from z is 120km calculate the distance of z from x correct to the nearest meter

Answer 1

The distance of z from x is the same as the distance between x and z -- 96 km

Fix your typo, draw triangle XYZ (you know that angle Y is 85°) and then use the law of sines to find the missing side.