A 853 N magician (note: this is weight, not mass) is freeing himself from some shackles while suspended above a swimming pool filled with alligators.  Two ropes are suspending the magician.  The left rope makes an angle of 42 above the horizontal and points up and to the left.  The right rope makes an angle of 78 above the horizontal and points up and to the right.  Calculate the tension in the left rope, in N.

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A 853 N magician (note: this is weight, not mass) is freeing himself from some shackles while suspended above a swimming pool filled with alligators.  Two ropes are suspending the magician.  The left rope makes an angle of 42 above the horizontal and points up and to the left.  The right rope makes an angle of 78 above the horizontal and points up and to the right.  Calculate the tension in the left rope, in N.

(Please answer to the fourth decimal place - i.e 10.5432)

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