How do you solve the right triangle ABC if A=80 Degrees B=10 Degrees and C=90 Degrees and a=10?

##b=1.76##
##c=10.15##
Using your data we can plot the following triangle:
Using trigonometry we have:
##b/a=tan(10^o)## with ##a=10##
##b=1.76##
Also:
##a=c*cos(10^o)##
##c=10.15##