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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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Step-by-step explanation:

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3 years ago
What is D and R? Please answer I need help.
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Answer:

  31. D: {8, 4, 0, -4}; R: {2, -1}; yes

  32. D: {-1, 2, 7}; R: {-4, -3, -2, 0}; no

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Step-by-step explanation:

In this context, D means "domain" and R means "range." The domain of a function is the list of input values for which the function is defined. For ordered pairs, it is the first number of the pair. For an x-y table, it is the list of x-values. For a graph, it is the possible values of x.

A relation is a <em>function</em> only if there are no repeated values in the domain (2 or more outputs for the same input.)

The range of a function is the list of output values produced by the function. For ordered pairs, it is the second number of the pair. For an x-y table, it is the list of y-values. For a graph, it is the possible values of y.

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31. D: {8, 4, 0, -4}

    R: {2, -1}

Function: yes

Domain and range values don't need to be repeated. Often, they're listed in order from lowest to highest. Here, we have listed them in order of occurrence in the function definition.

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32. D: {-1, 2, 7}

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Function: no

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33. D: {-4, -3, -1, 2, 3, 5}

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Function: yes

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34. D: (-∞, ∞)

     R: (-∞, 4]

Function: yes

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35. D: [0, 5]

     R: [-2, 3]

Function: no . . . . . . there are 2 y-values for most x-values

4 0
4 years ago
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