Law of Sines...2

[nycmathguy]

Section 6.1

 

[MathLover1]

<B=15 degrees 30'=15.5°
a=4.5
b=6.8

a/sinA=b/sinB=c/sinC

use given to find side c and angles A and C

a/sin(A)=b/sin(B)

4.5/sin(A)=6.8/sin(15.5)

sin(A)=(4.5*sin(15.5))/6.8

sin(A)=(4.5*0.267238)/6.8

sin(A)=0.17684867647058822

A=sin^-1(0.17684867647058822)

A=10.186257639823903°

A=10° 11‘

then angle C=180-(15° 30‘+10° 11‘)=154° 19'

find side c

c/sin(C)=b/sin(B)

c=(6.8/sin(15° 30‘))*sin(154° 19' )

c=(6.8/0.267238376)*0.4333969535634

c=(25.445447251183715)*0.4333969535634

c=11.03

 

[nycmathguy]

<B=15 degrees 30'=15.5°
a=4.5
b=6.8

a/sinA=b/sinB=c/sinC

use given to find side c and angles A and C

a/sin(A)=b/sin(B)

4.5/sin(A)=6.8/sin(15.5)

sin(A)=(4.5*sin(15.5))/6.8

sin(A)=(4.5*0.267238)/6.8

sin(A)=0.17684867647058822

A=sin^-1(0.17684867647058822)

A=10.186257639823903°

A=10° 11‘

then angle C=180-(15° 30‘+10° 11‘)=154° 19'

find side c

c/sin(C)=b/sin(B)

c=(6.8/sin(15° 30‘))*sin(154° 19' )

c=(6.8/0.267238376)*0.4333969535634

c=(25.445447251183715)*0.4333969535634

c=11.03

I understand the gist of the law of sines so far. Wish I had time to work out all the problems but time is limited. I think my problem has been lack of focus. You see, I only have the weekend to work out most of the questions per section. I also make time for my guitar and personal errands.