Answer:
20.4
Step-by-step explanation:
1. c = b · sin(C) / sin(B) = 20.39716
This is the equation to find x.
c = x
b = 74
C = ?
B = 90
2. C must be found. We know that A is 90 and B is 74.
3. 180 = 90 + 74 + C
According to the triangle sum theorem, the angles of every triangle would add up to equal to 180. This means we should add 90 and 74 first.
4. 180 = 164 + C
You must do 180 - 164 which equals 16.
5. C = 16
This means that 16 is what C equals. You can finally plug in the equation with all the gathered information
c = x
b = 74
C = 16
B = 90
4. x = 74 · sin(16) / sin(90) =
You could use a calculator to find the answer.
5. The answer you would get is 20.39716, but you need to round to the nearest tenth. The 3 behind the decimal is the tenth place but there is a 9 behind it meaning the 3 must be rounded up to a 4. This means that your answer to this problem is 20.4 when rounded to the nearest tenth.
