Question 1169490

This problem refers to triangle ABC.

If A = 57°, B = 53°, and c = 18 cm, find C and then find a. (Round your answers to the nearest whole number.)
<pre>This has ABSOLUTELY NOTHING to do with the side "b," so IGNORE the other person's suggestion to find "b."
Now, since &#8737s A and B were given, then it's obvious that &#8737 C is 70<sup><b>o</sup></b> (180 - 57° - 53°)
Using the Law of Sines, we now get: {{{matrix(2,3, a/sin (A), "=", c/sin (C),
a/sin (57^o), "=", 18/sin (70^o)
)}}}
a * sin 70° = 18 * sin 57° ------- Cross-multiplying
{{{highlight_green(matrix(1,9, a, "=", (18 * sin (57^o))/sin (70^o), "=", 16.06490238, "or", highlight(16.065), "(approximated)", cm))}}}