Answer:
b=6
Problem 10 / (Second Session 2006)
1 answer:
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You want to isolate C, so the first step would to have it be positive. You would do this by adding C to both sides of the equation to cancel the C on one of the sides out like this:
. Then you want to cancel out the P, so you subtract it on both sides like this:
And that is your answer
. Then you want to cancel out the P, so you subtract it on both sides like this:
And that is your answer
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
