Answer:
c = 4.79 feet
Step-by-step explanation:
Given question is incomplete without a picture; find the question with the attachment.
Two poles AD and DB of same length are leaning against each other.
Distance between the poles (AB) = 45 feet
m(∠ADB) = 180°- (60 + 50)°
= 70°
By sine rule,
[tex]\frac{sin50}{AD}=\frac{sin70}{45}=\frac{sin60}{DB}[/tex]
[tex]AD=\frac{45\times (sin50)}{sin70}[/tex]
= 36.68 ft
Similarly,
DB = [tex]\frac{45\times sin60}{sin70}[/tex]
= 41.47 ft
Now c = DB - AD
= 41.47 - 36.68
= 4.79 feet