Question

Help on a pythagorean theorem essay

Answer 1

The ladder is 10 feet long, and the base of the ladder at least 3 feet away from the wall the ladder is leaning on.

So, By making a right triangle, the ladder will represent the hypotenuse of the triangle

So, we need to find how high will the ladder reach up?

So, using a Pythagorean theorem

which stated that at the right triangle, the sum of the squared of the sides adjacent to the right angle is equal to the squared of the hypotenuse

so, let the height = h , the length of the ladder = 10 ft

and the base is 3 feet away from the wall

The ladder will represents the hypotenuse of the triangle

So,

`10^2=3^2+h^2`
`h^2=10^2-3^2=100-9=91`
`h=\sqrt{91\text{ }}=9.54\text{ (rounded to 2 decimal points)}`

So, The height that can the ladder reach up is 9.54 feet