A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fence for his farm. From one vertex, it is 435m to the second vertex and 656m to the third vertex. The angle between the lines of sight to the second and third vertices is 49 degrees. Calculate how much fencing he would need to enclose his entire field.

The amount required is  

Step-by-step explanation:

From the question we are told that

   The length of one side is  

    The length  of the second side is  

     The angle between the line of sight of second and third side is  

Generally using cosine rule the third side is evaluated as

=>    

=>  

The total  amount of face required is  mathematically evaluated as

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: