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**1. Three guy wires hold a pole BO as shown. The resultant R of the forces due to the three wires has a magnitude of 1000-N and is directed on the pole BO. Force F2 and F3 have a magnitude of 400-N and 500-N, respectively. The distance from point A to point D is 5-m. Find the tension in cable BD.**

## Homework Equations

Summation of all the forces = 0

F1 + F2 + F3 + R = 0

**F**= F*(unit vector)

## The Attempt at a Solution

On the solution below, I first established vectors F2 and F3 using the equation F=F*(unit vector). After that, I obtained a relation between Ax and Ay using the length AD.

I ended up with a set of 4 equations and 3 unknowns (the circled part below). I could get an answer but I am not sure if its right. Also, I believe that this is not the most practical way of solving the problem.

**Could anyone please help me find a better way of solving this problem? Thanks in advance.**