SOLUTION: in triangle ABC, A=27 degrees 35' , B=78 degrees 23' , and c=19.find a.round to the nearest tenth. a)8.6 b)9.2 c)12.8 d)19.4

Algebra.Com
Question 212761: in triangle ABC, A=27 degrees 35' , B=78 degrees 23' , and c=19.find a.round to the nearest tenth.
a)8.6
b)9.2
c)12.8
d)19.4

Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!
In triangle ABC, A=27 degrees 35' , B=78 degrees 23' , and c= 19. Find a and round to the nearest tenth.

a)8.6
b)9.2
c)12.8
d)19.4

Step 1. Convert angles A and B to decimal form (where 1 degree = 60 minutes)

degrees

degrees

Step 2. Use a property of a triangle where sum of the angles of a triangle is 180 degrees to find angle C




Step 2. To find c, Law of Sines











Step 3. ANSWER IS 9.2 or (b)
I hope the above steps were helpful.

And good luck in your studies!

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Respectfully,
Dr J



RELATED QUESTIONS

in triangle ABC, A=47 degrees,b=12,c=8.find a to the nearest tenth a)6.3 b)8.7... (answered by HyperBrain)
Consider a triangle ABC. Suppose that A=75 degrees, B=78 degrees, and b=12. Solve the... (answered by Alan3354)
In triangle ABC, A=15 Degrees, b=19 degrees, c=12 degrees. Find... (answered by jsmallt9)
in triangle ABC,a=7.8, b=4.2, c=3.9. find B to the nearest tenth. a)15.1 degrees... (answered by HyperBrain)
If AB || CD: 6. What is the measure of angle 3 in degrees if angle 1 = 125 degrees? (answered by Alan3354)
I have two questions. 1. Find the area of triangle ABC if A=56 degrees, b=20 ft, and... (answered by Alan3354,jojo14344)
Find the area of triangle ABC if A=56 degrees, b=20 feet, and c= 12 feet. Round to the... (answered by vleith)
Find the area of triangle ABC if A=56 degrees, b=20 ft, and c=12 feet. Round to the... (answered by Alan3354)
Consider a triangle ABC. Suppose that B= 108 degrees, a= 30, and c=69. Solve the... (answered by Alan3354)