Final answer:
To find the horizontal and vertical components of each vector, the trigonometric functions sine and cosine are used, with each vector's length being multiplied by the cosine or sine of its given angle respectively.
Step-by-step explanation:
The student is asking how to find the horizontal and vertical components of each vector for two different flight paths, one 118 km at 15 degrees south of east and another 105 km at 35 degrees west of north. To find the components, we can use trigonometric functions such as sine and cosine. For the first vector:
- Horizontal component (East) = 118 km × cos(15°)
- Vertical component (South) = 118 km × sin(15°)
For the second vector:
- Horizontal component (West) = 105 km × cos(35°)
- Vertical component (North) = 105 km × sin(35°)
To calculate the exact numerical values, use a calculator with trigonometric functions, setting it to degrees mode.