A hot air balloon is moving on a bearing of 134 degrees at 47 mph. Find the component form of the velocity of the balloon.

A hot air balloon is moving on a bearing of 341 degrees at 51 mph. A wind is blowing with the bearing of 285 degrees at 17 mph. Find the component form of the velocity of the balloon.

Question 1:

Question 2:

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:

the answers c

i believe that the answer is

b. y-1=-2(x-4)

hope this !