SOLUTION: Find the missing sides and angles in the right triangle, where a is the side across from angle A, b across from B, and c across from the right angle. (Round your answers to 3 decim

Algebra ->  Triangles -> SOLUTION: Find the missing sides and angles in the right triangle, where a is the side across from angle A, b across from B, and c across from the right angle. (Round your answers to 3 decim      Log On


   



Question 280025: Find the missing sides and angles in the right triangle, where a is the side across from angle A, b across from B, and c across from the right angle. (Round your answers to 3 decimal places.)
c = 18, A = 20°

Found 2 solutions by dabanfield, arKed:
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Find the missing sides and angles in the right triangle, where a is the side across from angle A, b across from B, and c across from the right angle. (Round your answers to 3 decimal places.)
c = 18, A = 20°
Since A + C must equal 90 we know C = 90 - 20 = 70.
We have then:
sin(20) = a/18
sin(70) = c/18
Solve for a and c.

Answer by arKed(27) About Me  (Show Source):
You can put this solution on YOUR website!

Solving for side a using Trigonometric function sine:
a=18Sin20
a= 6.156
Since it was a right triangle, therefore C= 90 degrees
Solving for B:
B=180-(C+A)
B=180-(90+20)
B=70 degrees
Solving for side b using trigonometric function sine:
b=18sin70
b=16.914