Question 1194776: Richard, Anton, and Donald are standing at three comers of a triangle in the middle of a park. Donald is 54 m from Anton, and Richard is 74 m from Donald. The angle at the of the triangle where Richard is standing is 34 degrees a) Sketch possible diagrams for this situation. b) Calculate the possible distance(2) from Richard to Anton.
Thank you
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Description for a figure:
points D, A, R for Donald, Anton, Richard
 -----for two possible angles at point D.
Also use Triangle Inequality Theorem to understand the possible range of values for length RD. (not finished)
D may have angle measure (the interior angle) of either 50 degrees or 130 degrees. (Pick which makes sense.
Use the Unit Circle for reference among 50 degrees and 130 degrees.
Know sum of angles measures of triangles.
One of your possibles is D 50 degree, R 34 degree, A 126 degree.
Other possible is D 130 degree, R 34 degree, A 16 degree.
Law of Cosines, or Law Of Sines? You choose!
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If apply Law Of Cosines, unknown segment RD,
 ;
Try both values for A, and see what that shows.
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