Question

question 2 of 2
is a 10 - foot ladder long enough to safely reach a landing that is nine feet above the adjacent floor?

Explanation:

Step1: Apply Pythagorean theorem

Let the height be $h = 9$ feet. Assume the base - to - wall distance for safe ladder use is non - zero. The maximum reach $d$ of the ladder forms a right - triangle with the wall and the ground. By the Pythagorean theorem $d=\sqrt{l^{2}-b^{2}}$, where $l$ is the ladder length and $b$ is the base distance. In the worst - case scenario (base distance $b = 0$), if we consider the vertical reach only, for a ladder of length $l = 10$ feet, the maximum vertical reach is 10 feet. Since $9<10$.

Answer:

Yes