SOLUTION: Solve the following right triangles: a. a=117 ft, b=16.35 ft b. B=8 degrees 29',and a=32.8 ft (by solving they mean finding all missing sides and angles) Can you ple

Question 395176:
Solve the following right triangles:
a. a=117 ft, b=16.35 ft
b. B=8 degrees 29',and a=32.8 ft

(by solving they mean finding all missing sides and angles)
Can you please help!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the following right triangles:
a. a = 117 ft, b = 16.35 ft
Find the angle A using tangent (side opposite/side adjcent
sin(A) =
A = 82.448 degrees
Find B
B = 180 - 90 - 82.0448
B = 7.9551 degrees
we know C
C = 90 degrees
:
Find side c
c =
c = 118.137 ft, (you could also find this by use the sin(A))
:
we have A=82.448, B=7.9551, C=90 degrees; a=117, b=16.35, c=118.137 ft
:
:
b. B=8 degrees 29',and a=32.8 ft
Change 8 deg 29': 8 + 29/60 = 8.4833 degrees
Find A
180 - 90 - 8.4833 = 81.5167 degree is angle A
we know
C = 90 degrees
:
Find b using angle B
tan(8.4833) =
b = 32.8 * tan(8.433)
b = 4.8922 ft
:
Find side c
c =
c = 33.163 ft
:
we have A=81,1567, B=8.4833, C=90 degrees; a=32.8, b=4.8933, c=33.163 ft
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