Question

a 10-ft ladder is leaning against a house the basically ladder is 5 ft from the side of the house at what height does the ladder touch the house?

Answer 1

Let's construct the given data as a right angled triangle since wall of the house and the base will be perpendicular to each other.

Using Pythagoras theorem

`\begin{gathered} AC^2=AB^2+BC^2 \\ 10^2=x^2+5^2 \\ 100=x^2+25 \\ x^2=100-25 \\ x^2=75 \\ x=\sqrt[]{75} \\ x=\sqrt[]{5*5*3} \\ x=5\sqrt[]{3} \end{gathered}`

Hence the height of the wall, that ladder touches is,

`5\sqrt[]{3}`