A vertical tower standing at the corner of a rectangular field subtends angles of 60° and 45° at the two nearer corners. If θ is the angle that the tower subtends at the farthest corner, then what is cot θ equal to?

• A. \(\frac{1}{2}\)
• B. 2
• C. \(\frac{2}{{\sqrt 3 }}\)
• D. \(\frac{4}{{\sqrt 3 }}\)