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a building 62 feet tall casts a shadow 21 meters long . at what angle is the sun shining on the building?

Respuesta :

9514 1404 393

Answer:

  42.0°

Step-by-step explanation:

To compute the angle, we need the measures in compatible units. It can be convenient to convert feet to meters.

  Tan = Opposite/Adjacent

  tan(angle of elevation) = (building height)/(shadow length)

  angle of elevation = arctan((62 ft)(0.3048 m/ft)/21 m) = arctan(18.8976/21)

  angle of elevation ≈ 41.984°

The angle of elevation of the sun is about 42.0°.

Answer:

71.29

Step-by-step explanation: