Vector Projections on the xy Plane and z Axis

[DarkSamurai]

Homework Statement

The vector u of length 6 makes an angle of 40 with the z axis; it's vector projection on the xy plane makes an angle of 44 degrees with the x axis.

The vector projection of a second vector v on the z axis has a length 5. The vector projection of v on the xy plane has a length of 6 and makes an angle of 136 with the x axis.

Homework Equations

u = <i, j, k>
v = <i, j, k>

The Attempt at a Solution

im confused on the wording of the problem but this is how I see it...

<5cos(44),0,5sin(40)>
<5cos(136), 0, 6>

 

[DarkSamurai]

The first part confuses me, "length x makes an angle of theta with the z axis"

What does this mean? on the zx plane? So should I take the magnitude and then take the cos of the angle?