Find the x-component of this

vector:

42.2°)

101 m

Remember, angles are measured from

the + x axis.

X-component (m)

Answer: 74.8m

Explanation:

We have the vector defined by:

r = 101m

θ = 42.2°

When we want to write this as rectangular components, we have that:

x = r*cos (θ)

y = t*sin (θ)

this is because we can construct a triangle rectangle, where the module of the vector is the hypotenuse, the x component is the adjacent cathetus and the y component is the opposite cathetus.

Then, here we have that the x component is

x = 101m*cos (42.2°) = 74.8m