Solving Vector Components and Theta with Pythagorean Theorem

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To find the angle of depression (theta) of the resultant vector from vectors A, B, and C, the Pythagorean theorem and basic trigonometry are essential. The magnitude of the resultant vector can be calculated, but the challenge lies in determining the X and Y components. To solve for theta, it is necessary to express each vector in the form of x and y components. The angle with the horizontal can then be found using the tangent function, where tan(theta) equals the ratio of the Y component to the X component. Understanding these steps is crucial for solving the problem effectively.
ColinTI89
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Homework Statement


Vector A= 5.00 m (See the attached image for the graphical representation)
Vector B=17.0m
Vector C=15.0 m


Homework Equations



Pythagorean Theorem, Basic trigonometry

The Attempt at a Solution



Finding the magnitude of the resultant vector is not where I'm having issues. I just can't figure out how to find theta (the angle of depression of the resultant vector). The only thing I could think of is to set up the X and Y components of the vector, but I don't know the lengths of those so I can't get any futher than that to calculate the angle.

Thanks in Advance,
Colin
 

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i'm bad with geometry so i can only tell you that find each vector in form of: x\hat{i} + y\hat{j}

find net of all vectors

then angle with horizontal is: tan\theta = \frac{y}{x}
 
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