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please help!! solve ΔPQR Your answer should include the length of r and the measures of angle P and angle Q.


Include all relevant calculations, and use the correct units for all measures. Be sure explanations are written in complete sentences.

please help solve ΔPQR Your answer should include the length of r and the measures of angle P and angle QInclude all relevant calculations and use the correct u class=

Respuesta :

sqdancefan

9514 1404 393

Answer:

  • r ≈ 15.90 m
  • P ≈ 63.27°
  • Q ≈ 26.73°

Step-by-step explanation:

The triangle is a right triangle, so the length of r can be found using the Pythagorean theorem.

  r = √(14.2² +7.15²) = √252.7625

  r ≈ 15.8985 ≈ 15.90 . . . meters

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The angles can be found from the tangent relation.

  Tan = Opposite/Adjacent

  tan(P) = 14.2/7.15

  P = arctan(14.2/7.15) ≈ 63.2738° ≈ 63.27°

Angle Q is the complement of angle P.

  Q = 90° -63.27° = 26.73°

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