The value of ∠X in triangle VWX ( ΔVWX) to the nearest degree is 2 degrees.
The angle X can be found using the cosine rule.
w² = x² + v² - 2xv cos W
w² = 110² + 700² - 2 × 110 × 700 cos 9°
w² = 12100 + 490000 - 154000 cos 9°
w² = 502100 - 154000 × 0.98768834059
w² = 502100 - 152104.004452
w = √349995.995548
w = 591.604593921
w = 591.60 inches
Using sine rule, let's find ∠X
Sine rule
110 / sin X = 591.60 / sin 9°
Therefore,
110 sin 9 = 591.60 sin X
sin X = 110 sin 9 / 591.60
sin X = 110 × 0.15643446504 / 591.60
sin X = 17.2077911544 / 591.60
X= sin⁻¹ 0.02908686807
∠X = 1.66678986656
∠X = 2 degrees
learn more on cosine law here : https://brainly.com/question/15268683
