If AC6 and the angle 20 find any missing anges or sides Give

If AC=6 and the angle =20, find any missing anges or sides. Give your answer to at least 3 decimal digits.

AB=

BC=

= 70 degrees

Solution

=20

from the diagram B=90^o

SUM OF ANGLES IN TRIANGLE =180^o

++B=180^o

=180^o-20^o-90⁰

=70⁰

by law of sines AB/sin() =AC/sinB

AB/sin(20^o) =6/sin90^o

AB/sin(20^o) =6/1

AB =6sin(20^o)

AB =2.052

by law of sines BC/sin() =AC/sinB

BC/sin(70^o) =6/sin90^o

BC/sin(70^o) =6/1

BC =6sin(70^o)

BC =5.638