Question 888875
this is presumably a right triangle with angle A being equal to 56 degrees 40 minutes, angle B being equal to 34 degrees 20 minutes, and angle C being equal to 90 degrees.


there are 60 minutes in a degree and there are 60 seconds in a minute.


56 degrees 40 minutes is equal to 56 degrees + 40/60 degrees which is equal to 56 + 2/3 degrees.


side c is the hypotenuse of this triangle.
side b is opposite angle B which is the side that is adjacent to angle A.


cosine of A is equal to adjacent / hypotenuse which becomes:


cosine of 56 + 2/3 degrees = 22 / c


solve for c to get:


c = 22 divided by cosine of 56 + 2/3 degrees.


use your calculator to get c = 40.0357426


that's your answer.