Answer:
The distance of Katniss from Ishan is approximately 4.305 meters
Step-by-step explanation:
The distance between Anne and Ishan = 3 m
The bearing of Ann from Ishan = 100°
The distance between Anne and Katniss = 7 m
The bearing of Ann from Katniss = 260°
From the diagram of the bearing created with MS Word, let 'a' represent the distance between Ishan and Katniss, let 'b' represent the distance between Ishan and Anne and let 'c' represent the distance between Katniss and Anne, by cosine rule, we have;
b = 3 m
c = 7 m
∠A = 20°
a² = b² + c² - 2·b·c·cos(A)
a² = 3² + 7² - 2 × 3 × 7 × cos(20)
a = √(3² + 7² - 2 × 3 × 7 × cos(20)) ≈ 4.305
By calculation, the distance from Ishan to Katniss, a ≈ 4.305 m
By measurement on MS Word, the distance from Ishan to Katniss, a = √(1.783² + 3.976²) ≈ 4.357.
