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April 18, 2015

April 18, 2015

Posted by **tareena** on Saturday, May 17, 2008 at 3:37am.

- math -
**drwls**, Saturday, May 17, 2008 at 5:56amDraw yourself a triangle with points at Station 1 (A), Station 2 (B), and the fire (C). A is closest to the fire. The distance from A to B is c = 6000 m. The inside angles are A = 180-52 = 128, B = 41 and C = 180-41-128 = 11 degrees. Use the law of sines to determine b.

sin 11/6000 = sin 41/b

- math -
**Reiny**, Saturday, May 17, 2008 at 8:54amThis is a good question showing how two different but valid interpretations can be had.

Without looking first at drwls solution I made a sketch and placed the angles of 52º and 41º inside the triangle

and my sine law equation would have been

b/sin41 = 6000/sin87 resulting in a different answer.

A diagram in your text of course would eliminate one of the interpretations, and is the reason why a text often shows a picture for you.

A fair-minded teacher should accept both solutions as correct.

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