teebeballin18 teebeballin18
  • 13-02-2020
  • Mathematics
contestada

A ladder placed 7 feet away from a wall,and makes 45 angle with ground.what is the length of the ladder?

Respuesta :

Cobrafire
Cobrafire Cobrafire
  • 13-02-2020

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]

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