For this case we can model the problem as a rectangle triangle where we have:
Base of the triangle
Angle between the base and the hypotenuse of the triangle
We want to find:
The height of the triangle
For this, we use the following trigonometric relationship:
![tan (45) = h / 185 ](https://tex.z-dn.net/?f=tan%20%2845%29%20%3D%20h%20%2F%20185%0A)
Clearing the height we have:
Answer:
the height of the building is:
h = 185 feet
Hyperbola: y = 1/x
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<u>Shape:</u> open curve with two branches
<u>Domain: </u>Any non-zero real number x < 0, x > 0 or x∈ (-∞, 0) ∪ (0, +∞)
<u>Range:</u> Any non-zero real number y < 0, y > 0 or y∈ (-∞, 0) ∪ (0, +∞)
<u>Locater point:</u> Imaginary point of intersection of asymptotes (0, 0)
<u>Asymptotes:</u> x = 0 and y = 0
Answer:
8a³b
Step-by-step explanation:
Answer:
C. 19
Step-by-step explanation:
Since VZ = ZY, VW = WX therefore we can apply the midpoint theorem where a midpoint line is half of the base line.
Thus:
![\displaystyle \large{ZW = \frac{1}{2}YX}\\\displaystyle \large{3x-5 = \frac{1}{2}(5x-2)}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%20%5Cfrac%7B1%7D%7B2%7DYX%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B3x-5%20%3D%20%5Cfrac%7B1%7D%7B2%7D%285x-2%29%7D)
Then multiply both sides by 2 to get rid of the denominator and solve for x.
![\displaystyle \large{(3x-5)2= \frac{1}{2}(5x-2)2}\\\displaystyle \large{6x-10= 5x-2}\\\displaystyle \large{6x-5x=-2+10}\\\displaystyle \large{x=8}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7B%283x-5%292%3D%20%5Cfrac%7B1%7D%7B2%7D%285x-2%292%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B6x-10%3D%205x-2%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7B6x-5x%3D-2%2B10%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7Bx%3D8%7D)
Since we want to find the midpoint line or WZ, substitute x = 8 in 3x-5
![\displaystyle \large{ZW = 3x-5}\\\displaystyle \large{ZW = 3(8)-5}\\\displaystyle \large{ZW = 24-5}\\\displaystyle \large{ZW =19}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%203x-5%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%203%288%29-5%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7BZW%20%3D%2024-5%7D%5C%5C%5Cdisplaystyle%20%5Clarge%7BZW%20%3D19%7D)
Therefore, ZW = 19