emmaforeman9 emmaforeman9
  • 07-01-2020
  • Mathematics
contestada

The base of a 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall
(round to the nearest foot)?

Respuesta :

altavistard
altavistard altavistard
  • 24-07-2022

Answer:

Step-by-step explanation:

Picture a right triangle with horizontal side 8 feet, vertical side h (to be determined) and hypotenuse 40 ft.  According to the Pythagorean Theorem,

(8 ft)^2 + h^2 = (40 ft)^2, or  64 ft^2 + h^2 = 1600 ft^2.

Solving for h^2, the square of the height:  1600 = 64 + h^2, or h = 1536.

Then h^2 = (1536 ft^2) and h = 39 ft (to the nearest foot)

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