An aerial photograph is taken of a building. The photograph is made when the angle of elevation of the sun is 25 degrees. The shadow is determined to be 80 feet long. How tall is the building?

Respuesta :

Answer:

  37.3 ft

Step-by-step explanation:

SOH CAH TOA reminds you that ...

  Tan = Opposite/Adjacent

In this geometry, the side adjacent to the angle is the 80 ft shadow, and the opposite side is the height of the building. Then we have ...

  tan(25°) = height/(80 ft)

  (80 ft)·tan(25°) = height ≈ 37.3 ft

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