Answer:
The y component of his displacement is 11.22 meters
Explanation:
Components of the displacement
The displacement is a vector because it has a magnitude and a direction. Let's suppose a displacement has a magnitude r and a direction θ, measured with respect to the positive x-direction. The horizontal component of the displacement is calculated by:
[tex]x=r\cos\theta[/tex]
The vertical component is calculated by:
[tex]y=r\sin\theta[/tex]
The hiker has a displacement with magnitude r = 20.51 m at an angle of 33.16 degrees. Substituting in the above equation:
[tex]y=20.51\sin(33.16^\circ)[/tex]
[tex]y=11.22\ m[/tex]
The y component of his displacement is 11.22 meters
