Keisha installed a fence along the 200-foot perimeter of her rectangular back yard. She left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate. Write an equation that can be used to find the length of the gate.​

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.