To express this vector as an ordered pair, we have to find the magnitudes of the x and y direction of the vector.
We are already given the angle of the vector and the magnitude of the vector. If we imagine this as a right triangle, we can use the sine and cosine to find the magnitudes of the x and y direction for the vector.
y direction magnitude:
[tex]54 \sin{69} \approx 50.4[/tex]
x direction magnitude:
[tex]54 \cos{69} \approx 19.4[/tex]
Ordered pair:
<19.4, 50.4>
I hope this helps! :)
