Answer:
The distance between the two kites is 521.18 ft
Step-by-step explanation:
For calculating the distance between the kites, you need use cosine’s theorem:
[tex]c^{2} = a^{2} + b^{2} -2abcos(\theta)[/tex]
Where c is the distance between the kites
a is the distance between the girl and the one kite
b is the distance between the girl and the second kite
Θ is the angle between the two lines
Then
[tex]c^{2} = 380^{2} + 420^{2} - 2(380)(420)cos(30)[/tex]
[tex]c^{2} = 271562.93[/tex]
c = 521.18
The distance between the two kites is 521.18 ft