SOLUTION: This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to three decimal places.) A = 8° 36', b

Algebra ->  Triangles -> SOLUTION: This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to three decimal places.) A = 8° 36', b       Log On


   

Question 1134789: This problem refers to right triangle ABC with C = 90°. Solve for all the missing parts using the given information. (Round your answers to three decimal places.)
A = 8° 36', b = 4.752 cm
B= ° '
a= cm
c= cm
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
given:
right triangle ABC with
+C+=+90°
A+=+8°+36'=8.6°
b+=+4.752cm+

B=+180-%2890%2B8.6%29°
B=+180-98.6°
B=+81.4°
B=81°24'


sin%28A%29%2Fa=sin%28B%29%2Fb
sin%288.6%29%2Fa=sin%2881.4%29%2F4.752
0.149535%2Fa=0.988756%2F4.752
0.149535%2Fa=0.20807154882
a=0.149535%2F0.20807154882
a=0.719cm

c= cm

sin%28A%29%2Fa=sin%28C%29%2Fc
sin%288.6%29%2F0.719=sin%2890%29%2Fc
0.149535%2F0.719=1%2Fc
0.207976356=1%2Fc
c=1%2F0.207976356
c=4.808cm
check using Pythagoras theorem:
c%5E2=a%5E2%2Bb%5E2
4.808%5E2=0.719%5E2%2B4.752%5E2
23.116864=0.516961%2B22.581504
23.116864=23.098465....round it
23=23