Need help solving problem **Question**Two hikers start from the common point \( B \) and each heads in a different direction according to the angle shown in the figure. If one hiker camps at point \( A \), 520 yards from point \( B \), and the other hiker camps at point \( C \), 418 yards from point \( B \), what is the distance, to the nearest yard, between the two camps?**Diagram Explanation**The diagram illustrates a triangle \( \triangle ABC \) with the following details:- Point \( B \) is the common starting point for both hikers.- Line segment \( AB \) is 520 yards.- Line segment \( BC \) is 418 yards.- The angle \( \angle ABC \) is 111°.You need to find the length of line segment \( AC \), which is the distance between the two camps. To solve this, you can use the Law of Cosines:\[ AC^2 = AB^2 + BC^2 - 2 \times AB \times BC \times \cos(\angle ABC) \]Substitute the given values into the equation:\[ AC^2 = 520^2 + 418^2 - 2 \times 520 \times 418 \times \cos(111°) \]Calculate \( AC \) and round to the nearest yard.

Name: Need help solving problem **Question**Two hikers start from the common
Uploaded: 2024-03-20T07:07:50.000Z
Channel: Bartleby
Description: Need help solving problem **Question**Two hikers start from the common point \( B \) and each heads in a different direction according to the angle shown in the figure. If one hiker camps at point \( A \), 520 yards from point \( B \), and the other