To solve this question we will use the cosine law:
[tex]c^2=a^2+b^2-2ab\cos C.[/tex]
c is the distance we are looking for and we are given that a=850, b=960, and C=75°. Substituting those values in the above equation we get:
[tex]\begin{gathered} c^2=(850^2+960^2-2(850)(960)\cos 75^{\circ})ft^2, \\ c^2=1221707.318ft^2. \end{gathered}[/tex]
Therefore:
[tex]c=1105.308698\text{ ft.}[/tex]
Answer: third option.
