Answer
$$70.85{\text{m}}$$
Work Step by Step
$$\eqalign{
& {\text{Let }}a = {\text{165m}},A = {\text{1}}00.{\text{2}}^\circ ,B = {\text{25}}.0^\circ \cr
& \cr
& {\text{Find }}b,{\text{ use the law of sines}} \cr
& \frac{b}{{\sin B}} = \frac{a}{{\sin A}} \cr
& b = \frac{{a\sin B}}{{\sin A}} \cr
& \cr
& {\text{Substitute}} \cr
& b = \frac{{\left( {{\text{165m}}} \right)\sin \left( {{\text{25}}.0^\circ } \right)}}{{\sin \left( {{\text{1}}00.{\text{2}}^\circ } \right)}} \cr
& {\text{Use a calculator}} \cr
& b \approx 70.85{\text{m}} \cr} $$
