The Pythagoras' Theorem allows finding the speed of the plane traveling east is:
R = 172.36 mph
Given parameters
Velocity is a vector, so to add it, vector algebra must be used.
One way to solve is to find the modulus with the Pythagoras' Theorem the direction using trigonometry.
In the attachment we can see a diagram of the velocity vectors, we see that the question corresponds to one of the legs of the triangle.
v_ₐ² = [tex]v_w^2 + r^2[/tex]
r² = v_ₐ² - [tex]v_W^2[/tex]
r = [tex]\sqrt{225^2 - 144.63^2}[/tex]
r = 172.36 mph
In conclusion using the Pythagoras' Theorem we find the velocity of the plane towards the east is:
r = 172.36 mph
Learn more about Pythagoras' theorem here:
https://brainly.com/question/343682
