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Pythagorean Theorem quiz-
Superman needs to fly to the top of the building. If he starts on the ground 75 meters away and the building is 420 meters tall. How many meters does Superman have to fly?

Sagot :

Lanuel

Answer:

Hypotenuse, c = 426.64 meters

Explanation:

  • Let his distance from the building be a (adjacent).
  • Let the height of the building be b (opposite).
  • Let the distance of his flight be c (hypotenuse).

Given the following data;

Opposite, b = 420 meters

Adjacent, a = 75 meters

To find the missing side (hypotenuse), we would have to apply Pythagorean' theorem.

From Pythagorean theorem;

c² = a² + b²

Substituting into the formula, we have;

c² = 75² + 420²

c² = 5625 + 176400

c² = 182025

Taking the square root of both sides, we have;

c = √182025

Hypotenuse, c = 426.64 meters

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