As a part of their weather unit, Anoki’s science class took a hot air balloon ride. As they passed over a fenced field, the angl
e of depression of the closer side of the fence was 32°, and the angle of depression of the farther side of the fence was 27°. If the height of the balloon was 800 feet, estimate the width of the field. Round your answer to the nearest foot. 2016_01_25_17_23_501.png The width of the field is about feet
1 answer:
Please refer to the figure attached for the diagram of this problem.
Steps needed to find the width of the field (CD):
First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.
We then subtract 27 and 5 from 180 to get angle c.
. Angle c is therefore 148 degrees.
Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures
degrees.
For the next step we use sine law to find the length of segment AC:
Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
ANSWER: The width of the field is 290 ft.
Steps needed to find the width of the field (CD):
First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.
We then subtract 27 and 5 from 180 to get angle c.
Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures
For the next step we use sine law to find the length of segment AC:
Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
ANSWER: The width of the field is 290 ft.
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Answer:
(a) none of the above
Step-by-step explanation:
The largest exponent in the function shown is 2. That makes it a 2nd-degree function, also called a quadratic function. The graph of such a function is a parabola -- a U-shaped curve.
The coefficient of the highest-degree term is the "leading coefficient." In this case, that is the coefficient of the x² term, which is 1. When the leading coefficient of an even-degree function is positive, the U curve has its open end at the top of the graph. We say it "opens upward." (When the leading coefficient is negative, the curve opens downward.)
This means the bottom of the U is the minimum value the function has. For a quadratic in the form ax²+bx+c, the horizontal location of the minimum on the graph is at x=-b/(2a). This extreme point on the curve is called the "vertex."
This function has a=1, b=1, and c=3. The minimum of the function is where ...
x = -b/(2·a) = -1/(2·1) = -1/2
This value is not listed among the answer choices, so the correct choice for this function is ...
none of the above
__
The attached graph of the function confirms that the minimum is located at x=-1/2
_____
<em>Additional comment</em>
When you're studying quadratic functions, there are few formulas that you might want to keep handy. The formula for the location of the vertex is one of them.
The shape of the vertical cross section of the solid figure is Circle , Option A is the right answer.
What is a Circle ?
A circle is a round figure with all the points lying in the same plane .
It is given that
Tung rotates a square around its horizontal axis of symmetry to make a solid figure.
the shape of the vertical cross section of the solid figure will be a circle that can be seen in the image attached
The rotation image is also attached and the horizontal axis is taken as straight to show the formation of a circle.
Therefore Option A is the right answer.
To know more about Circle
#SPJ1
