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The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building. What is the height of the building?

Respuesta :

65^2-16^2=63^2 so 63 is your answer

The height of the building is 63m

Data;

  • hypothenuse = 65m
  • adjacent = 16m
  • Opposite = x

Pythagorean Theorem

To solve this problem, we have to use Pythagorean theorem to find the missing side.

[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]

Let's substitute the values and solve

[tex]65^2 = 16^2 + x^2 \\x^2 = 65^2 - 16^2 \\x^2 = 3969\\x = \sqrt{3969} \\x = 63[/tex]

The height of the building is 63m

Learn more on Pythagoras's theorem here;

https://brainly.com/question/343682

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