Question

On level ground, a dog park is being built in the shape of an equilateral parallelogram whose diagonals have lengths 36.6 meters and 42.1 meters. A fence will be installed along the edges of the do

Answer 1

To calculate the length and orientation of the third side of a triangular land, we can use the Law of Cosines.

Step-by-step explanation:

To calculate the length and orientation of the third side, let's use the Law of Cosines. The law states that in a triangle with sides a, b, and c, and angle C opposite side c, the following equation holds:

c2 = a2 + b2 - 2ab cos C

In this case, we have a = 80.0 m, b = 105 m, and c is the unknown side. We also know that angle C is the angle between the west corner and the third side. Plugging these values into the equation, we can solve for c:

c2 = (80.0)2 + (105)2 - 2(80.0)(105) cos C

Simplifying the equation will give us the length of side C. To calculate its orientation, we can use the Law of Sines or trigonometric functions, depending on the information provided in the question.