Answered

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The components of vector A are Ax = + 3.90 and Ay = -4.00. What is the angle measured counterclockwise from the +x-axis to vector A?

Sagot :

Answer: [tex]314.28^{\circ}[/tex]

Explanation:

Given

X component of the vector is [tex]A_x=3.9[/tex]

Y component of the vector is [tex]A_y=-4[/tex]

From the figure, we can write

[tex]\Rightarrow \tan x=\dfrac{4}{3.9}\\\\\Rightarrow x=45.72^{\circ}[/tex]

Thus, the angle measured counterclockwise from the x-axis to vector A is

[tex]360^{\circ}-45.72^{\circ}=314.28^{\circ}[/tex]

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