A triangular yard is formed where two roads cross. The length of the yard along one road
is 62 meters. The length of the yard along the other road is 60 m. The length of the yard
not bordered by any road is 49 meters. Determine the angle formed between the two
roads.
Make your sketch.
By the cosine law:
49^2 = 62^2 + 60^2 - 2(60)(62)cos A , where A is the angle between the roads.
2401 = 3844+3600-7440 cosA
cosA = 5043/7440
A = appr. 47.3°