Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Calculating Area Aqua.
Area Aqua, in square units to 2 d. p. is;
Area triangle with two side 5 units and 6 units, and angle acos(0.2)° - Area triangle with two side 5 units and 3.9332754507 units, and angle 14.2804126089° - Area triangle with two side 3.9332754507 units and 4.44921801671 units, and angle (2*14.2804126089)° - Area triangle with two side 7 units and 4.44921801671 units, and angle 14.2804126089° - Area triangle with two side 1.53404004392 units and 1.98043718084 units, and angle (0.5acos(0.2))°
= (0.5*5*6sin(acos0.2)) - (0.5*5*3.9332754507sin14.2804126089) - (0.5*3.9332754507*4.44921801671sin(2*14.2804126089)) - (0.5*7*4.44921801671sin14.2804126089) - (0.5*1.53404004392*1.98043718084sin(0.5acos(0.2)))
= 14.6969384567 - 2.42553028034 - 4.18330013265 - 3.8411747212 - 0.96072207009
= 3.28621125242
≈ 3.29 square units.
