A 25 foot ladder leans against the side of a house. The base of the ladder is 12 ft. from the house on level ground. Find, to the nearest foot, the distance from the top of the ladder to the ground.

A 25 foot ladder leans against the side of a house The base of the ladder is 12 ft from the house on level ground Find to the nearest foot the distance from the class=

Respuesta :

ok

To solve this problem, I'll use the Pythagorean theorem

[tex]\text{ c}^2=a^2+b^2[/tex]

c = 25

a = 12

b = x

[tex]\begin{gathered} \text{ b = }\sqrt[]{c^2-a^2} \\ \text{ b = }\sqrt[]{25^2-12^2} \\ \text{ b = }\sqrt[]{625\text{ - 144}} \\ \text{ b = }\sqrt[]{481} \end{gathered}[/tex]

Result

b = 21.93 rounding to the nearest foot

b = 22 ft this is the distance.