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Solve for the height of the building when the distance between the building and a person is 27
meters and the angle of elevation from the person is 49º. Construct a diagram to help you
solve. Round your answer to the nearest meter.

Respuesta :

sqdancefan

9514 1404 393

Answer:

  31 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

With reference to the attached diagram, we have ...

  tan(49°) = BG/GP

  BG = GP×tan(49°) = (27 m)×tan(49°) ≈ 31.0599 m

The height of the building is about 31 meters.

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