Find the sum of the interior angle measures of the polygon.

Mathematics

1 answer:

Andru [333]3 years ago

4 0

AbG is. I tedious angel meajsres of the polygon

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The angle of elevation to the top of a skyscraper is measured to be 2 degrees from a point on the ground 1 mile from the buildin

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Answer:

0.034921 miles or 1843774 feet tall

Step-by-step explanation:

Using trigonometric functions we know that $x=rcos(\theta)$ and $y=rsin(\theta)$ where $\theta$ =angle and r is the hypotenuse of the triangle.

First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:

$x=rcos(\theta)\\\\1=rcos(2)\\\\r=\frac{1}{cos(2)} \approx. 1.0061mi$

Now we will calculate the height of the building using the y equation and so:

$y=rsin(\theta)\\\\y=\frac{1}{cos(2)} \times sin(2) = \frac{sin(2)}{cos(2)}=tan(2)=0.034921mi$

The building is 0.034921 miles or approximately 184.3774 feet tall.

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