Answer:
Explanation:
Because the x direction has an angle measure of 0 and the y direction has the angle measure of 90, those will be what we use to find the magnitude of the bird and wind in both the x and y directions. The formula for the magnitude in the x dimension is
[tex]A_{vel}=A_{mag}cos[/tex]θ and the magnitude in the y dimension is much the same but uses the sin of theta instead. Filling out for both the bird and the wind in the x-dimension:
15.5cos0 = 15.5m/s and
36cos90 = 0
the sum of which is 15.5.
Doing the same in the y-dimension for the both the wind and the bird respectively:
15.5sin0 = 0 and
36sin90 = 36.
The sum of which is 36.
To find the magnitude of the velocity of the bird, we will use a form of the distance formula:
[tex]A_{mag}=\sqrt{x^{2}+y^{2} }[/tex]
[tex]A_{mag}=\sqrt{15.5^2+36^2}[/tex]
which is 39 m/s, taking into account significant digits. The whole decimal is 39.19502519
