Question

What will be the length of the railing from point A to point B? Show or explain how you got your answer.

Answer 1

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:

`x=5(7.5)=37.5in`
`x=y=37.5in`
`Z=2y=2(37.5in)=75in`

The B is equal to the lenght of 10 steps: 10(9.5in):

Then:

`B=10(9.5in)=95in`

You have the next triangle:

You use the Pythagoras Theorem to find the h:

`h=\sqrt[]{Z^2+B^2}`
`h=\sqrt[]{75^2+95^2}`
`h=\sqrt[]{14650}`
`h=5\sqrt[]{586}\approx121.03in`The length of the railing from point A to point B is 121.03in