Please help ASAP! 20 points!!
1 answer:
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Answer: the shortest side is 279.24 feet
Step-by-step explanation:
The diagram of the triangle in shown in the attached picture. The given angles of 30 degrees and 50 degrees are for the shorter sides.
Since the sum of angles in a triangle is 180 degrees, it means that the angle of the longer side, x will be
x = 180 - (30 + 50)
x = 180 - 80 = 100 degrees
The sine rule states that
a/sinA = b/sinB = c/sinC
c = 550
a = the shortest side.
Therefore
a/sinA = c/ sinC
a/sin30/= 550/sin100
asin100 = 550sin30
0.9848a = 550×0.5 = 275
a = 275/0.9848
a = 279.24 feet
