in radians, an angle is defined by θ =S/R). So if two circles have the same ratio. Do they really have same "angle"?
Or is it just mathematically same "angle"
For example
A circle s=1, r=1, θ=1 radian
B circle s=100, r=100, θ=1 radian
Mathematically they are indeed same "angle" but in real world they have very different physical separation.
Here's the problem: An airplane flies with a ground velocity of 50.0 m/s [E30°N]. If the wind velocity is 22 m/s [SE], what is the airplane's speed?
I answered 60 m/s but the given correct answer was 49 m/s. The only reasoning it gives is "the angle between the wind speed and the gdound speed is 30+45=75°
I've attached a photo of my solution. I got angle C by creating a right triangle from the first vector and North and East, and then adding that 60° to the known 45° of the second vector.
The reason I'm not asking the teacher is that this is online school and idk how to contact the teacher yet.
I'm guessing it's an error in the quiz but I want to make sure I'm not missing something obvious.