What is the answer to the question?

Explanation:

The y component is measured by the horizontal component and the vertical component. Together they determine the magnitude of the vector. In this case, the y or vertical component is found by using the sine function.

Formula

Sin(angle) = vector resultant / y component component.

Givens

angle = 42 degrees.

vector = 419 degrees

Solution

sin(42) = y / 419                  Multiply both sides by 419

419 * sin(42) = 419  * y / 419

y = 419 * 0.6691

y = 280.37

Note

The vector is pointing downward so technically the vertical component should be negative.  I'm not sure what to tell you to answer. I would try - 280.37, but if the computer marks you wrong, try 280.37 (no minus sign).