one end of a 4ft iron rod is attached to the center of a pulley with radius of 0.5 ft. The other end is attached at a 40 degree angle to a wall, at a spot 6ft above the lower end of a steel wire supporting a box. The other end of the wire comes out of the wall straight across from the top of the pulley. Find the length L of the wire from the wall to the box.
P.S this deals with radian measure.
We use the formula L = rθ where s is the arc length or the length of the wire r is the distance from the center to the end of the rod θ is the angle made by the rod with the wall
Substituting the values and converting the angle to radian measure L = 4 (40°) (π/180°) L = 2.79 feet