After 1 hour, two boats will be at a distance of "25 miles".
Given:
- One travel speed, [tex]a = 28 \ mi/h[/tex]
- Other travel speed, [tex]b = 22 \ mi/h[/tex]
- Angle, [tex]\Theta = 60^{\circ}[/tex]
As we know the formula,
→ [tex]Distance = \sqrt{a^2+b^2-2ab Cos \Theta}[/tex]
By substituting the values, we get
[tex]= \sqrt{(28)^2+(22)^2-2\times 28\times 22 Cos 60^{\circ}}[/tex]
[tex]= \sqrt{784+484-616}[/tex]
[tex]= \sqrt{652}[/tex]
[tex]= 25 \ miles[/tex]
Thus the above answer is correct.
Learn more about distance here:
https://brainly.com/question/13256529