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## Homework Statement

An air-conditioner unit is fastened to a roof that slopes upward at an angle of 36.0˚ . In order that the unit not slide down the roof, the component of the unit's weight parallel to the roof cannot exceed 520N. What is the maximum allowed weight of the unit?

## Homework Equations

## The Attempt at a Solution

My attempt at the solution is an attached file. We haven't learned about force yet but this problem is in the homework. My answer seems wrong because I don't think you can add two different weights unless they are in the same direction. And my answer seems too large. So how do I find the weight of the AC unit? Do I use some kind of Pythagorean identity? Thanks for all the help.