To know the length of the railing from point A to point B you can use Pythagoras Theorem.
You draw a right triangle:
You use the given information to know the measure of the legs in the triangle:
You can see that the value of x is the height of 5 steps: 5(7.5 in).
Then:
[tex]x=5(7.5)=37.5in[/tex][tex]x=y=37.5in[/tex][tex]Z=2y=2(37.5in)=75in[/tex]
The B is equal to the lenght of 10 steps: 10(9.5in):
Then:
[tex]B=10(9.5in)=95in[/tex]
You have the next triangle:
You use the Pythagoras Theorem to find the h:
[tex]h=\sqrt[]{Z^2+B^2}[/tex][tex]h=\sqrt[]{75^2+95^2}[/tex][tex]h=\sqrt[]{14650}[/tex][tex]h=5\sqrt[]{586}\approx121.03in[/tex]The length of the railing from point A to point B is 121.03in
