gabrielatjeraronel
gabrielatjeraronel gabrielatjeraronel
  • 25-08-2021
  • Mathematics
contestada

the distance between the base of the tree and the base of the building is:
please​

the distance between the base of the tree and the base of the building isplease class=

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munakc220
munakc220 munakc220
  • 25-08-2021

my guess is "15m" is it correct ?

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jimthompson5910 jimthompson5910
  • 25-08-2021

Answer: C) 15 meters

Explanation:

Apply the pythagorean theorem to find the missing side.

[tex]a^2 + b^2 = c^2\\\\x^2 + 20^2 = 25^2\\\\x^2 + 400 = 625\\\\x^2 = 625-400\\\\x^2 = 225\\\\x = \sqrt{225}\\\\x = 15[/tex]

The horizontal leg of the right triangle is 15 meters long. This is the distance from the base of the tree to the base of the building.

Side note: This right triangle is based off the 3-4-5 right triangle. It has been scaled up by a factor of 5.

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