Answered

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From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot

Sagot :

sqdancefan

Answer:

  112.30 ft

Step-by-step explanation:

The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...

  Tan = Opposite/Adjacent

  tan(66°) = height/(50 ft)

Solving for the height gives ...

  height = (50 ft)tan(66°) ≈ 112.30 ft

The height of the building is about 112.30 feet.

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