The interior angles of the triangle of 61°, 73°, and 46°, and the distance from James to Hadley of 15 meters gives;
- Gwen to Hadley ≈ 18.24 meters
- Gwen to James ≈ 19.94 meters
The given angles are;
At James's location; 61°
At Hadley's location; 73°
At Gwen's location; 46°
The distance between James and Hadley = 15 meters
The angle facing the distance between James and Hadley is the angle at Gwen, 46°
The angle facing the distance between Gwen and James is the angle at Hadley, 73°
The angle facing the distance between Gwen and Hadley is the angle at James, 61°
The angle that faces the 15 meter length is the angle at Gwen, which is 46°
By the rule of sines, the distance from Gwen to Hadley is therefore;
Which gives;
- Gwen to Hadley ≈ 18.24 meters
Similarly, we have;
Therefore;
- Gwen to James ≈ 19.94 meters
Learn more about the rule of sines here:
#SPJ1