La componente x de un desplazamiento es de 450m. Calcular el vector resultante del desplazamiento si este forma un angulo de 70º con dicha componente ¿ cual esel valor de componente y?

Magnitude of the displacement = 1315.71 m

el vector resultante del desplazamiento = 1315.71 m

y-component of the displacement = 1236.36 m

cual esel valor de componente y = 1236.36 m

Explanation:

English translation of the question.

The x component of a displacement is 450 m. Calculate the displacement if it forms an angle of 70 ° with this component. Calculate the value of the y-component?

If the magnitude of the displacement = d

The displacement vector = (dₓ, dᵧ)

dₓ = d cos θ

dᵧ = d sin θ

where θ is the angle that the vector makes with the x-axis.

dₓ = 450 m

θ = 70°

dₓ = d cos θ

450 = d × cos 70

d = 1315.71 m

dᵧ = d sin θ

dᵧ = 1315.71 × sin 70°

dᵧ = 1236.36 m

Hope this Helps!!!

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