An air-conditioner unit is fastened to a roof that slopes upward at an angle of 37.0 degrees. In order that the unit not slide down the roof, the component of the unit's weight parallel to the roof cannot exceed 560 N. What is the maximum allowed weight of the unit, in N?

I tried multiplying the two given values by using the equations:

sin 37 * 560
cos 37 * 560

...but the answer I'm getting is incorrect. Can anyone show me the correct solution? Thanks!

2 answers

Weight*sin 37 < 560 N
is what you should be solving.

The maximum weight is 560/sin37 N
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