Final answer:
To find the possible values of ZX, we can use the Law of Cosines and the given information about the triangle.
Step-by-step explanation:
To find all possible values of ZX, we can use the trigonometric relationship between the sides and angles of a triangle. In triangle AWX, we already know that AW = 700 cm and WX = 710 cm. We are also given that ZW = 24°.
To find ZX, we can use the Law of Cosines, which states that c² = a² + b² - 2ab cos(C), where c is the side opposite angle C. In this case, a = AW = 700 cm, b = WX = 710 cm, and C = ZW = 24°. Substituting these values, we can solve for c²:
c² = (700)² + (710)² - 2(700)(710) cos(24°)
Once we find the value of c², we can take the square root to find the magnitude of ZX:
ZX = √(c²)
By performing the calculations, we find that ZX is approximately 500.1 cm to the nearest 10th of a degree.