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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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Mice21 [21]

$\bf \textit{volume of a sphere}\\\\
V=\cfrac{4}{3}\pi r^3\qquad 
\begin{cases}
r=radius\\
------\\
V=3600
\end{cases}\implies 3600=\cfrac{4}{3}\pi r^3
\\\\\\
3600=\cfrac{4\pi r^3}{3}\implies \sqrt[3]{\cfrac{3\cdot 3600}{4\pi }}=\boxed{r}\\\\
-----------------------------\\\\
\textit{surface area of a sphere}\\\\
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3 years ago

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wariber [46]

Answer:

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Step-by-step explanation:

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Continuing on to correct the problem

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3 years ago

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elena-14-01-66 [18.8K]

Answer:

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Katena32 [7]

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<h3>What is a probability?</h3>

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In this problem, for each day, there is a 0.1 probability that he forgers to brush his teeth, and days are independent, hence for 3 consecutive days the probability is given by:

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More can be learned about probabilities at brainly.com/question/14398287

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