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2 years ago

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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