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Sergeeva-Olga [200]
2 years ago
12

If the tree grows an additional 10 feet, what is the new angle of

Mathematics
1 answer:
avanturin [10]2 years ago
6 0

Answer:

  B)  47.1°

Step-by-step explanation:

The tangent relation is useful here.

  Tan = Opposite/Adjacent

The original height of the tree is the side of the triangle that is opposite the angle of elevation:

  Opposite = Adjacent × Tan

  original height = (25 ft)×tan(34°) ≈ 16.863 ft

__

After growing an additional 10 ft, the tree has a height of ...

  16.863 ft + 10 ft = 26.863 ft

Then the angle of elevation is found from ...

  tan(angle) = (26.863 ft)/(25 ft) ≈ 1.07451

  angle of elevation = arctan(1.07451) ≈ 47.057°

The angle of elevation to the top of the tree is about 47.1°.

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