SOLUTION: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the magnitudes of the horizontal and vertical vector c

Algebra ->  Triangles -> SOLUTION: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the magnitudes of the horizontal and vertical vector c      Log On


   

Question 1135469: The problem below refers to a vector V with magnitude |V| that forms an angle θ with the positive x-axis. In this case, give the magnitudes of the horizontal and vertical vector components of V, namely Vx and Vy, respectively. (Round your answers to two decimal places.)
|V| = 12.6, θ = 22.6°
|Vx| =
|Vy| =
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
V| = 12.6, θ = 22.6°

abs%28V%29=+12.6, theta+=+22.6°
find:
abs%28V%5Bx%5D%29 =
abs%28V%5By%5D%29 =


abs%28V%5Bx%5D%29=V%2Acos%28theta%29+
abs%28V%5Bx%5D%29=12.6%2Acos%2822.6%29+
abs%28V%5Bx%5D%29=12.6%2A0.9232102
abs%28V%5Bx%5D%29≈ 11.6


abs%28V%5By%5D%29=V%2Asin%28theta%29
abs%28V%5By%5D%29=12.6%2Asin%2822.6%29
abs%28V%5By%5D%29=12.6%2A0.384295
abs%28V%5By%5D%29≈4.8