Law of Sines

Novy Most, the emblematic bridge in the city of Bratislava (Pozsony) is the largest obe-pillar bridge on earth. The pillar leans back in an angle of 109° to compensate for the wieght of the bridge. The fixation point of the longest cabel is 200 m away from the pillar foot. The said cabel forms an agle of 16° with the bridge body. Compute the length of the cabel.

 $\frac{\sin\alpha}{\sin\beta}=\frac{a}{b}$ 

  $\frac{\sin\alpha}{\sin\gamma}=\frac{a}{c}$  

 $\frac{\sin\beta}{\sin\gamma}=\frac{b}{c}$   

 $\left(\frac{\sin\alpha}{\sin\beta}=\frac{a}{b}\right)$ Makes no change...

  $\frac{\sin\alpha}{1}=\frac{a}{c}$  :) Hurray! ;P

 $\frac{\sin\beta}{1}=\frac{b}{c}$   :) Hurray! ;P

Find the of unknown data for

- the length of side(s) and

- the measure of angle(s)