I’m angle ABC a=16.1, b=9.8, and c=11.2, calculate B to the nearest tenth

Answer 1

What has abc to do with ABC? Size?

Answer 2

use the law of cosines-look it up if you don't know it

draw a diagram

(9.8)^2=(11.2)^2+(16.1)^2-2(11.2)(16.1)cosB

96.04=125.44+259.21-360.64cosB

96.04=384.65-360.64cosB

96.04-384.65=-360.64cosB

-288.61=-360.64cosB

cosB=(-288.61)/(-360.64)

cosB=0.8002717

now use arccos finder on your calculator (cos^-1)

∠B=36.84394437º or...

∠B=36° 50' 38.2"