karterkupcake9005 karterkupcake9005
  • 18-03-2021
  • Mathematics
contestada

Will a pair of 6 feet 11 inch long skis fit in a wardrobe that is 3 feet long, 2 feet wide and 6 feet high?

Respuesta :

eudora eudora
  • 18-03-2021

Answer:

Step-by-step explanation:

Length of a pair of skis = 6 feet 11 inches

Maximum length of a the skis that can be fitted in a wardrobe is along the diagonal of the wardrobe.

From the picture attached,

BC² = 3² + 2² [By Pythagoras theorem]

BC = √(13)

By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

AB² = 6² + (√13)²

       = 36 + 13

AB = √49

Ab = 7 feet

Since, "diagonal length of the wardrobe is more than the length of skis,

skis can be fitted"

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