Calculating Horizontal Velocity with Angles

[Surgikill117]

Homework Statement

A passenger on a boat moving at 1.5m/s on a still lake walks up a set of stairs at .5m/s. he stairs are angled at 45 degrees in the direction of motion as shown. What is the velocity of the passenger relative to the water.

Homework Equations

The Attempt at a Solution

How do I find the horizontal velocity of the passenger. Do I take half of the velocity because the angle is 45 degrees? I don't know which equations I should use to find the passengers horizontal velocity.

 

[HallsofIvy]

If you draw a line representing the surface of the water, a line representing the stairs and draw a perpendicular, you will see a right triangle. ".5 m/s" is the rate of change along the hypotenuse of that right triangle. Do you know how to find the lengths of the two legs of a right triangle if you know the length of the hypotenuse and an angle? Using, say, sine and cosine?