Question

A blue ladder is leaning against a building. Find the distance between the base of the ladder and the building

Answer 1

Let's first get a sketch that represents this situation.

Here,

L represents the laddder

B represents the building

F represents the floor(distance between the base of the ladder and the building).

We have the equation, use pythagoras theorem:

`l^2=b^2^{}+f^2`

To find the distance between the base of the ladder and the building, rewrite the formula above for f.

Thus, we have:

`\begin{gathered} f^2=l^2-b^2 \\ \\ f=\sqrt[]{l^2-b^2} \end{gathered}`