What is the Vector Sum of Two Vectors with Equal Magnitude and Different Angles?

[Flash70]

Homework Statement

The two vectors a and b in the figure have equal magnitude of 29 m and the angles are θ1 = 31° and θ2 = 105°. Find the x-component of their vector sum r. Find y-component sum. Magnitude of the vector sum? Find the angle that their vector sum r makes with the positive direction of the x-axis.

Homework Equations

The Attempt at a Solution

Ok i am confused as to why this won't work.
x = 29cos31 + 29cos105
y = 29sin31 + 29sin105

The second vector/magnitude points towards the y-axis and the first one points away. i can not seem to insert a picture.

 

[Mike Pemulis]

Looks good to me. Why do you think that's wrong? I'm assuming you're not making a simple mistake like confusing degrees and radians.

 

[Flash70]

i mean i think it is right. i put that answer into lon capa and it said it was wrong, so i figured i was doing something wrong.