> 
> A ladder is $13\ \mathrm m$ long and weights $300\ \mathrm N$, rests against a smooth wall at height $12\ \mathrm m$ above the floor. The floor is rough. Find the frictional force and the normal force exerted on ladder by the floor and the normal force exerted on the ladder by the wall. 
> 
> 
> 

The answer provided in the textbook is $F\_\text{wall} = 300\ \mathrm N$ and $F\_\text{floor} = 62.5\ \mathrm N$. Only these two answers are provided and I believe they are the normal forces. 

Shouldn’t they be swapped as the normal force by the floor should cancel out with the weight and therefore be $300\ \mathrm N$?