2. In the diagram below, S represents the location of a power plant located on a...
2. In the diagram below, S represents the location of a power plant located on a straight coast. E shows the located of a substation on an island. A cable is to be laid connecting the substation with the power plant. The point P represents the location at which the cable comes on shore. The location of the point P depends on the angle 8. The cost of running a cable on land is $1.50 per foot and the cost of running the cable under water is $2.50 per foot. OCEAN (Island? 7 EN 3,000 ft TP LAND lexic 10,000 - x K 10,000 ft- 1 a. Express the cost, in dollars, of laying the cable C as a function of e, using the appropriate trigonometric functions. b. Determine the cost if = 30°. First show the expression you need to evaluate with the EXACT values of the trig, functions at 0, THEN evaluate the expression rounding to the nearest dollar. C. Determine the cost if @ = 45°. First show the expression you need to evaluate with the EXACT values of the trig. functions at 0, THEN evaluate the expression rounding to the nearest dollar. d. Determine the cost if @ = 60°. First show the expression you need to evaluate with the EXACT values of the trig. functions at 0, THEN evaluate the expression rounding to the nearest dollar.