



 
Hi Jean, I would first draw a diagram A bearing of $S 35^o 12'$ means that $Z$ is 35 degrees 12 seconds east of south so the measure of angle $ZXY$ is $35^o 12'.$ 12 minutes is $\large \frac{12}{60} \normalsize = 0.2$ degrees so if you prefer angle measures in decimal fractions the measure of the angle $ZXY$ is $35.2^{o}.$ You want to know the distance from $Z$ to $X.$ What trig function relates the length of $ZX,$ the length of $XY,$ and the measure of the angle $ZXY?$ Harley 



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