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. T
hen he turns 105 degrees and walks 180 meters to reach point A at the other side of the pond. The approximate distance across the pond is _____ meters.
Peter walks into 3 different points. If you make a diagram of the direction, you can see that he will form a triangle with a=200, b= 180m, and cos c= cos 180-105= cos 75. Using law of cosine, the length of C would be:
c^2= a^2 + b^2 - 2ab cos c c^2= 200^2 + 180^2 - 2(200)(180) cos 75 c^2= 40,000+ 32,400 - 18,645 c^2= 53765 c= 231.87m
At start Keenan has x strawberries. He gives Tisha x/2. Then Tisha keeps 4 strawberries and gives Suvi the rest. If y is the number of strawberries that Suvi gets: y = x/2 - 4. For example: Keenan has 20 strawberries. He gives Tisha 10 and Tisha gives Suvi 6: 6 = 20/2 - 4 6 = 10 - 4