Question

a ladder is leaning against the side of a brick wall the base of the ladder is 6 feet away from the brick wall the top of the ladder touches the brick wall at 8 feet from the ground how long is the ladder 4ft 10 feet or 14 feet or 7 feet

Answer 1

The base of ladder is at distance of b = 6 feet from the wall.

The height of top of ladder from ground is h = 8 feet.

Let the length of ladder be l.

Determine the length of ladder by using the pythagoras theorem.

`\begin{gathered} l^2=(6)^2+(8)^2 \\ =36+64 \\ =100 \\ l=\sqrt[]{100} \\ =10 \end{gathered}`

So length of the ladder is 10 feet.