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  • 15-09-2022
  • Mathematics
contestada

The base of a 15 foot ladder is 6 feet from a building, if the ladder reaches the flat roof, How tall is the building?

Respuesta :

dt33183 dt33183
  • 15-09-2022

Answer:

13.7 feet

Step-by-step explanation:

The ladder and the building will form a right triangle with the ladder's length is hypotenuse

so if a is the height of the building

c^2 = a^2 + b^2

(15)^2 = a^2 + (6)^2

225 = a^2 + 36

a^2 = 225 - 36 = 189

a = √(189 = 13.7

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