A vector is 80 foot pounds of force (if you don't know that unit of measurement, you're not alone) and the direction is 275 degrees. What are the horizontal and vertical components of the vector?
Thank You So Much!!!!!!
+23254 80 foot-pounds of force at 275º
Direction notation: taking north to be 0º and moving in a clockwise direction, east is 90º, south is 180º, and west is 270º.
Putting directions on a graph, from the origin, the positive x-axis is 90º, the positive y-axis is 0º, the negative x-axis is 270º, and the negative y-axis is 180º.
So, in a trig sense, where the positive x-axis is 0º, the positive y-axis is 90º, the negative x-axis is 180º, and the negative y-axis is 270º, a direction of 275º becomes a trig direction of 175º.
To find the horizontal component, use r·cos(theta) ---> 80·cos(175º) = -79.7 (rounded)
To find the vertical component, use r·sin(175º) ---> 80·sin(175º) = 7.0 (rounded)
A "foot-pound" is equivalent to lifting a weight of one pound one foot off the ground.
