Peter needs to find the distance across the pond shown in the diagram. He starts from point C and walks 200 meters to point B. Then he turns 105º and walks 180 meters to reach point A at the other side of the pond. The approximate distance across the pond is meters.

Answer:c=231.87 m Step-by-step explanation:When we read this example we can see that Peter will form triangle with those sides : a=200 m,b=180 mcos X=cos (180-105)=cos75x is angle. Now, we can use this rule : [tex]c^{2} =a^2+b^2-2abcosX[/tex]Now, let's evaluate : [tex]c^{2} =200^{2} +180^{2} -200*180cos75\\c^2=40000+32 400-18 645\\c^2=53765\\c=231.87 m[/tex]