(Solved): Two wires are connected to a tower at the same point on the tower. Wire \\( \\# 1 \\) makes an ...

Two wires are connected to a tower at the same point on the tower. Wire \\( \\# 1 \\) makes an angle of \\( 45^{\\circ} \\) with the ground and wire \\( \\# 2 \\) makes an angle of \\( 60^{\\circ} \\) with the ground. a) Which wire is longer? Use a diagram to support your answer. b) If the point where the two wires connect to the tower is \\( 35 \\mathrm{~m} \\) above the ground, determine exact expressions for the lengths of the two wires.