Answer:
44.2545
Step-by-step explanation:
you can find the third angle by taking 180-(90+55)=a
a=35
use law of sines
Sin(angle)/(opposite side of angle)=Sin(another angle)/(opposite side of another angle)
so, sin(a)/A=sin(b)/B
sin(35)/33=sin(55)/x
x=sin(55)/(sin(35)/33)
x=44.2545
Hope this helps :)
Answer:
step 2
and then also in step 3 compensating the error in step 2
Step-by-step explanation:
I think I just answered this for another post.
sin(a - b) = sin(a)cos(b) - cos(a)sin(b)
so, step 1 is correct :
sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2)
but step 2 suddenly and incorrectly switched that central "-" to a "+".
yes, sin(3pi/2) = -1, but that is still an explicit factor in step 2. so it was not used to flip the central operation from subtraction to addition, and therefore this change was a mistake.
then, in step 3, another error was made by just ignoring the "-" sign of "-1" and still keeping the central "+" operation. this error compensated for the error in step 2 bringing us back by pure chance to the right result.
O.99 is the answer to this problem