Answer
$$25^\circ $$
Work Step by Step
$$\eqalign{
& {\text{Let }}A = {\text{129}}.{\text{7}}^\circ ,a = {\text{127 ft}},b = {\text{69}}.{\text{8 ft}}. \cr
& \cr
& {\text{Find }}B,{\text{ use the law of sines}} \cr
& \frac{{\sin B}}{b} = \frac{{\sin A}}{a} \cr
& \sin B = \frac{{b\sin A}}{a} \cr
& \cr
& {\text{Substitute}} \cr
& \sin B = \frac{{\left( {{\text{69}}.{\text{8 ft}}} \right)\sin \left( {{\text{129}}.{\text{7}}^\circ } \right)}}{{{\text{127 ft}}}} \cr
& {\text{Use a calculator}} \cr
& \sin B = 0.4228668421 \cr
& B = {\sin ^{ - 1}}\left( {0.4228668421} \right) \cr
& B \approx 25^\circ \cr} $$
