Respuesta :
Using the cosine rule, the missing parts of the triangle are:
c = 13.6 km; B = 47.9°; C = 22.8°
What is the Cosine Rule?
Cosine rule is given as, c² = a² + b² ﹣ 2ab(cosC)
Given the following:
- C = 109.3°
- a = 5.6 km
- b = 10.7 km
Find c using the cosine rule:
c² = 5.6² + 10.7² ﹣ 2(5.6)(10.7)(cos 109.3)
c² = 185.5
c = √185.5
c = 13.6 km.
Use the cosine rule to find A:
5.6² = 10.7² + 13.6² ﹣ 2(10.7)(13.6)(cosA)
31.36 = 299.45 ﹣ 291.04(cosA)
31.36 - 299.45 = ﹣ 291.04(cosA)
-268.09 = ﹣ 291.04(cosA)
0.9211 = (cosA)
C = cos^(-1)(0.9211)
C = 22.8°
Find B:
B = 180 - 22.8 - 109.3
B = 47.9°
Therefore, using the cosine rule, the missing parts of the triangle are:
c = 13.6 km; B = 47.9°; C = 22.8°
Learn more about the cosine rule on:
https://brainly.com/question/23720007