Question 250733
Law of sines states
{{{a/sinA = b/sinB = c/SinC}}}
Notice that after draw the picture angle J and side RS are connected. We have
{{{48/sin(36) = 72/sin(R)}}}
{{{sin(R) = 72sin(36)/48}}}
Using trig tables or a calculator, we get
R ~ 61.85 degrees.
Since angles add to 180, S = 82.15 degrees
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using law of sines again, we can find side JR
{{{48/sin(36) = JR/sin(82.15)}}}
{{{JR = 48*sin(82.15)/sin(36)}}}
JR ~ 80.9
angle J: 36
angle R: 61.85
angle S: 82.15
side JS: 72
side JR: 80.9
side RS: 48