physics

The components of vector A are Ax and Ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Find the angle θ if the components of the displacement vector A are (a) Ax = 11 m and Ay = 11 m, (b) Ax = 19 m and Ay = 11 m, and (c) Ax = 11 m and Ay = 19 m.

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  1. a. tan(theta) = Ay/Ax =11 / 11 = 1,
    theta = 45deg.

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  2. Ax = 11 + 19 + 11
    Ax = 41

    Ay = 11 + 11 + 19
    Ay = 41

    tan(theta) = Ay/Ax
    tan(theta) = 41/41
    theta = inverse tan x (41/41)
    theta = 45 degrees with respect to positive x axis

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  3. How did you get theta=45degree

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  4. Ax=15m and Ay=15m

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