A microphone of mass 500g hangs from the end of a long wire fixed to the ceiling. A horizontal string attached to the microphone exerts a pull which keeps the wire at an angle of 20º to the vertical. Find the tensions in both string and wire

Always change to SI units, so 500g = 0.5kg. Obviously the system is in equilibrium, so all you have to do is to equate the forces. Vertically: Force on the microphone due to gravity (mg) = the vertical component of the tension of the long wire. Horizontally: The tension in the string = the horizontal component of the tension of the microphone wire. Remember Horzontal components are bounded by cos θ Vertical components are bounded by sin θ where θ = 20

Source https://www.physicsforums.com/threads/find-the-tension-in-the-string-and-the-wire.354769/

Tons?