Chapter 3 - Radian Measure and the Unit Circle - Section 3.2 Applications of Radian Measure - 3.2 Exercises - Page 112: 46

360 m

Height of mast of the boat=Arc length $s=11.0\,m$ Central angle(in radians) $\theta=1^{\circ}45'(\frac{\pi}{180^{\circ}})=(1^{\circ}+\frac{45}{60}^{\circ})(\frac{\pi}{180^{\circ}})$ $=\frac{1.75\pi}{180}=0.03054326$ Distance $r$ can be found using the relation $s=r\theta$ $r=\frac{s}{\theta}=\frac{11.0\,m}{0.03054326}=360\,m$