Question

a ladder leans against the side of a house. the top of the ladder is 24 ft from the ground. the bottom of the ladder is 10 ft from the side of the house. find the length of the ladder. if necessary, round your answer to the nearest tenth.

Explanation:

Step1: Identificar teorema de Pitágoras

El triángulo es rectángulo, así que se usa: $c^2 = a^2 + b^2$, donde $c$ es la longitud de la escalera (hipotenusa), $a=24$ ft y $b=10$ ft.

Step2: Sustituir valores conocidos

$$c^2 = 24^2 + 10^2$$
$$c^2 = 576 + 100$$

Step3: Calcular suma y raíz cuadrada

$$c^2 = 676$$
$$c = \sqrt{676} = 26$$

Answer:

26 ft