Problem P
Painting the roof
You are painting your roof. You have a $10$ liter can of paint that is filled to the brim. That poses a bit of a problem because you can not put it down on the roof because it is tilted, otherwise the paint will spill. You decide to build a simple platform on which to place the can of paint. You already have one piece of plywood that is sized at $50 \mathrm{cm} \times 50 \mathrm{cm}$. You are going to screw another piece of wood at a right angle at the end of it to make the platform perfectly level while placed on the roof.
You have a cool app on your phone that allows you to measure the roof’s angle in degrees, denoted as $\Theta $ in the diagram. Now it is time to put your programming skills to use to calculate the exact height of the second piece.
Hint: the math module in Python contains commonly used trigonometric functions.
Input
Input consists of one line with one integer $d$, the roof’s angle in degrees, where $0 \leq d < 90$.
Output
Output consists of one line with one floating point number, the height of the second piece, rounded to 1 decimal place.
| Sample Input 1 | Sample Output 1 |
|---|---|
0 |
0.0 |
| Sample Input 2 | Sample Output 2 |
|---|---|
14 |
12.5 |
| Sample Input 3 | Sample Output 3 |
|---|---|
45 |
50.0 |
