Answer:
Question 1:

Question 2:

Step-by-step explanation:
1. Balloon moving at 47 mph on a bearing of 134º
The x-component of a vector is the magnitude of the vector multiplied by the cosine of the angle.
The y-component of a vector is the magnitufe of the vector multiplied by the sine of the angle.


2. Balloon moving at 51mph on a bearing of 341º, with a wind blowing at 17mph on a bearing of 285º
First find, the component forms of the initial velocity of the balloon and of the wind. Then, add the two velocities.
i) Initial velocity of the balloon: Vb,i


ii) Wind velocity: Vw


iii) Add the two velocities
Add the corresponding components:

