Law of sine triangle problem

[Ramulala]

Hi, there I am stuck on this problem
There is what I did

First finding the a missing length by law of sine
Sin44°/14 = sinA/18°
18sin40°/ 14
9/7 sin 40°
Sin^-1 ( 9/7sin40°)
Got A= 63.26

Then finding the C angle
180-44-63.26= 72.73

Now finding the X side value
Sin63.3°/18 = Sin72.73°/X
18sin72.73°/sin63.3°
Got me X = 19.24

I don't why is this saying it is wrong. Plz check it

 

[Harry_the_cat]

Hi, there I am stuck on this problem
There is what I did

First finding the a missing length by law of sine
Sin44°/14 = sinA/18°
18sin40°/ 14 You have changed 44 to 40. You need to be more careful!
9/7 sin 40°
Sin^-1 ( 9/7sin40°)
Got A= 63.26 You seem to have used 44 rather than 40, so I assume the 40 above is just a typo. BTW 63.2695 rounds to 63.27 (2dp).

The instructions in the question tell you to assume it is obtuse if it looks obtuse. Angle A does look obtuse (ie >90 degrees).
Remember that when you have a sine equation, you are likely to get 2 solutions (when dealing with triangles).
Eg, If sin A = 1/2, then A=30 deg OR 180-30=150 deg.
So look for the obtuse solution to your sine equation.

The rest is incorrect because it is a follow through error. Fix the first question and try the second one again!

Then finding the C angle
180-44-63.26= 72.73

Now finding the X side value
Sin63.3°/18 = Sin72.73°/X
18sin72.73°/sin63.3°
Got me X = 19.24

I don't why is this saying it is wrong. Plz check it

see my comments in red

 

[Ramulala]

I got 63.27 when I corrected the 40° to 44°. I think It was a typing error from my side.

I am confused how do you look for the obtuse in this case???
Would it be just 180°- 63.27°= 116.73° for A and 63.27 for angle C ??
Or??

I got only 1 try left to get it right!
See if you can provide me a answer to this!

 

[Dr.Peterson]

Would it be just 180°- 63.27°= 116.73° for A

Yes. The two angles with the same sine are supplements.

Now continue from there. C is not 63.27.

To avoid wasting tries, check your answer before entering it; you don't need to ask someone else.

 

[Harry_the_cat]

Yes. A is 116.73. You know B is 44. So what is C?