Question 888875: if angle A = 56degrees 40' and b = 22ft., find c
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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