Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures of the angles (in degrees) to 1 decimal place if necessary. Round intermediate steps to at least four decimal places. b = 809.2, c = 436, A = 108.6 O The triangle with these conditions does not exist. X 5 O The triangle with these conditions does exist. CAIn a public park, a triangular region of grass is bounded by walkways. Sprinkler heads are placed at the vertices of the triangle as shown in the figure. Each sprinkler head can be set to limit its angle of rotation. For each sprinkler head, how large should the angle of rotation be set so as to keep the walkways dry and to conserve water? Round to the nearest degree. 96 ft 109.5 ft 112 ft The angles of rotation are ZA~ X 5Use Heron's formula to find the area of the triangle with sides of the given lengths. Round to the nearest tenth of a square unit. a =18 in, b = 9 in, c = 11 in The area is approximately in X 5In a public park, a triangular region of grass is bounded by walkways. Find the area of the grassy region. Round to the nearest square foot. 93 ft 132.8 ft 124 ft The area of the grassy region is approximately A2 X 5