I am working a problem I'm a bit stuck on. I would love to hear your suggestions!

A person pulls a wagon 100 feet up an incline that makes an angle of 30

^{o} with the horizontal by exerting a force of 20 pounds on a handle that makes an angle of 30

^{o} with the horizontal. Find the the work done.

Reference picture:

Could I just use the following reasoning:

$\displaystyle W = \vec{F}\vec{X} = ||\vec{F}||\cdot ||\vec{X}||\cdot cos\Theta$

$\displaystyle \vec{F} = <20,0>$

$\displaystyle \vec{X} = <86.6,50>$

$\displaystyle \therefore W = \vec{F}\vec{X} $

$\displaystyle = ||\vec{F}||\cdot ||\vec{X}||\cdot cos\Theta$

$\displaystyle = \sqrt{20^{2}+0^{2}}\cdot \sqrt{86.6^{2}+50^{2}}\cdot cos(30^{\circ}) $

$\displaystyle = 20\cdot 100\cdot cos(30^{\circ}) = 1732$

This seems a bit of excessive, no? Or maybe not. I'm just unsure if I'm going the right way with this.