The resultant displacement of the Sparrow from its staring point is determined as 34.4 km.
How to calculate the resultant displacement of the Sparrow?
The resultant displacement of the Sparrow from its staring point is calculated by applying cosine rule as follows;
c² = a² + b² - (2ab cos (C)
where;
- a and b are the known sides of the triangle
- C is the angle between side a and b
- c is the third side of the triangle
From the diagram attached;
R² = 26² + 49² - (2 x 26 x 49 x cos (42))
R² = 676 + 2401 - (1893.53)
R² = 3077 - 1893.53
R² = 1183.47
R = √1183.47
R = 34.4 km
Thus, the distance south of its starting point the sparrow landed is 34.4 km.