A metal rod is bolted at the points P(0,4) and Q(4,0). A second metal rod is hinged at the origin and is free to rotate so the angle can vary. The two rods cross at a point R(x,y) as shown. P R(x,y) (a) Find a relationship between x, y and 0; then eliminate y by expressing y in terms of x. This gives you a relationship between x and 8 of the form: (Write theta to represent 0.) = 4-x. (b) Use your equation to find the value of x when 0 = 1/4. x= 2 (c) By approximately how many radians should you increase if you want the x coordinate of the point R to decrease to x = 1.95 meters? Use the tangent line approximation. .025