1. For ABC what is the value of cosC.

adjudant= 54
hypotnuse=90
opposite=72

3 answers

well, cosC = adjacent / hypotenuse, so ...

Note that this is just a 3-4-5 triangle, magnified by 18
So 0.8
From
c²=(a²+b²)-2abcosC

cosC=((a²+b²)-c²))/2ab)....

Diagram first then you can't go wrong

a=54,b=90 c=72

(a²+b²)=2916+8100=11016
C²=72²=5184

(a²+b²)-c²=11016-5184=5832
2(ab)=2(54)(90)=9720

cosC=5832/9720=0.6