In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.
From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:
b² = a² + c² - 2ac Cos B
where;
- a = 50 mph
- c = 325 mph
- ∠B = 65° + 50° = 115°
b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)
b² = 2500 + 105625 - (32500 × (-0.4226))
b² = 108125 - (-13734.5)
b² = 121859.5
[tex]\mathbf{b =\sqrt{121859.5 }}[/tex]
b = 349.08 mph
Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.
Learn more about bearing and distance here:
https://brainly.com/question/19017345?referrer=searchResults
