Find the x-component of this vector: 42.2°) 101 m Remember, angles are measured from the +x axis. X-comp

Question

Find the x-component of this
vector:
42.2°)
101 m
Remember, angles are measured from
the +x axis.
X-component (m)

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MichaelMet 2 weeks 2021-08-29T19:28:48+00:00 1 Answers 0 views 0

Answers ( )

    0
    2021-08-29T19:30:39+00:00

    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

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