Real Life Applications of Sine Law
Example 1 (solving distance)
Example 2 (solving height)
Example 3 (bearing of flight)
A plane flies 500 kilometers with a bearing of 316° (clockwise from north) from Naples to Elgin. The plane then flies 720 kilometers from Elgin to Canton. Find the bearing of the flight from Elgin to Canton.
Solution:
a/Sin A = b/Sin B
720/Sin 46°= 500/Sin B
720Sin B = 500sin 46°
Sin B= 500sin46°/720
Sin B= 360/720
Sin B= 0.5
B= inverse sin 0.5
B= 30°
Solution:
a/Sin A = b/Sin B
720/Sin 46°= 500/Sin B
720Sin B = 500sin 46°
Sin B= 500sin46°/720
Sin B= 360/720
Sin B= 0.5
B= inverse sin 0.5
B= 30°