The angles at which the fences will meet is 27 , 38 ,114 degree.
A triangle is a polygon with three sides , three angles and three vertices.
It is given that the triangle has sides
1.1 miles * 1.5 miles * 2.2 miles
The law of cosines can be used to calculate the angle
a² = b² + c² -2bc cosA
1.1² = 1.5² + 2.2² -2 *1.5 *2.2 cosA
A = 27.01 degree
Similarly
b² = c² +a² -2ac cosB
1.5² = 2.2² +1.1² -2 * 2.2*1.1 cos B
B = 38.27 degree
By angle sum property
Angle C = 180-38.27-27.01
C = 114.72 degree
Therefore , the angles at which the fences will meet is 27 , 38 ,114 degree.
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