NEED HELP WITH PHYSICS PROBLEM (MOMENTUM/collisions)

1. The problem statement, all variables and given/known data

A 0.800 kg target slides along the ice at 3.0 m/s [W], when it is hit by a 20.0 g arrow moving at 260 m/s [N], as part of a show. Find the final velocity of the target after the inelastic collision.

2. Relevant equations

pi= pf
m1 v1i+ m2 v2i = (m1+ m2)vf
pythagorean theorem

3. The attempt at a solution

v1f= ?

pix= pfx
m1 v1ix+ m2 v_2ix = (m1+ m2)vfx
(0.80)(-3.0)+0=(0.80+0.020) vfx
-2.4=(0.820)vfx
v_fx= -2.93 m/s

piy= pfy
m1 v1iy+ m2 v2iy = (m1+ m2)vfy
0+(0.02)(260)=(0.800+0.02) vfy
vfy=5.2/0.82=6.34 m/s

vf=√(-2.93)^2+(6.34)^2
vf=6.98 m/s

tanθ= -2.93/6.34
θ=25°

Since one of these values are negative, the angle is negative. Relatively speaking what would the angle be. also was this question in general answered correctly?

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