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
