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Distance across a canyon Find RS

To determine the distance RS across a deep canyon. Joanna lays off a distance TR=582 yards. She then finds that T=32degrees50' and R=102degrees20' findRS?
please show me the steps Thank U

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<br>It is not clear what you mean by T=32degrees50' and R=102degrees20'. I presume that it is the angles given in the graph attached. I think you posted ...