Respuesta :

Answer:

L = 14/[tex]\sqrt2}[/tex] OR 9.899

Step-by-step explanation:

cos(angle) = adjacent/ hypotenuse

hypotenuse = length of ladder

adjacent = 7 feet

length of ladder = L

1/L = cos(45)/7

L = 7/cos(45)

MAKE SURE CALCULATOR IS IN DEGREE MODE

L = 7/([tex]\sqrt{2}[/tex]/2)

L = 14/[tex]\sqrt{2}[/tex]