## Trigonometry (11th Edition) Clone

Let $a = 13.0~ft$, let $b = 14.0~ft$, and let angle $C = 70.0^{\circ}$. We can use the law of cosines to find $c$, the length of the line opposite the angle $C$: $c^2 = a^2+b^2-2ab~cos~C$ $c = \sqrt{a^2+b^2-2ab~cos~C}$ $c = \sqrt{(13.0~ft)^2+(14.0~ft)^2-(2)(13.0~ft)(14.0~ft)~cos~70.0^{\circ}}$ $c = \sqrt{240.5~ft^2}$ $c = 15.5~ft$ The distance of the missing section is 15.5 feet. We can find the length of the property line between the two markers: $18.0~ft+15.5~ft+14.0~ft = 47.5~ft$ The length of the property line is 47.5 feet