Total eastward distance E = 60 + 80*cos(15°)
Total northward distance N = 80*sin(15°)
Total distance from origin D = √(E2 + N2)
$${\mathtt{D}} = {\sqrt{{\left({\mathtt{60}}{\mathtt{\,\small\textbf+\,}}{\mathtt{80}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}{\left({\mathtt{15}}^\circ\right)}\right)}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\left({\mathtt{80}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{15}}^\circ\right)}\right)}^{{\mathtt{2}}}}} \Rightarrow {\mathtt{D}} = {\mathtt{138.826\: \!827\: \!135\: \!014\: \!3}}$$
D ≈ 138.8 miles
.