The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is mc024-1.jpg. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

Respuesta :

We will use the Pythagorean theorem to determine the height:[tex] h^{2}=15^{2} - 3.5^{2} [/tex] [tex]h^{2} =225 - 12.25=212.75[/tex] Finally: [tex]h= \sqrt{212.75}=14.5859 [/tex]
Answer Ladder will reach the height of 14.59 feet ( to the nearest hundredths).

Answer: it's 14.6 feet