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A flagpole is held in the vertical position by cables attached to three nearby structures. The tension in one of the cables is found to be 20 N. The figure below is a sketch of the situation as seen from above. All of the measurements given are correct, however the sketch is not to scale and poorly represents dimensions and angles.

(a) Assuming the measurements given are all correct, use them to determine the angles 0, and 02 in degrees, to 2 significant figures. (b) Express the tension forces, T1 and T2, in component form to 2 significantfigures. Bby resolving the forces along x and y directions, find two equations involving the magnitudes T, and T2 of the tensions on the wires. Show that the matrix A (defined below) has an inverse. A=\left[\begin{array}{cc}

0.85 & -0.65 \\

0.52 & 0.76

\end{array}\right] =) Evaluate the inverse of A. Express the equations found in part (c) in matrix form, and hence solve the equations to determine the magnitudes T, and T2 to 2 significant figures.

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