A person is standing exactly 36 ft from a telephone pole. There is a 30 degree angle of elevation from the ground to the top of
the pole. What is the height of the pole?
2 answers:
A person stands at point A. BC is a telephone pole.
Answer:
PQ = 20.78 feet
Step-by-step explanation:
From the attached figure, QR = 36 ft
The angle of elevation from the ground to the top of the pole, ![\theta=30^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D30%5E%7B%5Ccirc%7D)
Let the height of the pole is PQ. We can calculate the height of the pole using trigonometry as :
![tan\theta=\dfrac{PQ}{QR}](https://tex.z-dn.net/?f=tan%5Ctheta%3D%5Cdfrac%7BPQ%7D%7BQR%7D)
![PQ=QR\times tan\theta](https://tex.z-dn.net/?f=PQ%3DQR%5Ctimes%20tan%5Ctheta)
![PQ=36\times tan(30)](https://tex.z-dn.net/?f=PQ%3D36%5Ctimes%20tan%2830%29)
PQ = 20.78 feet
So, the height of the pole is 20.78 feets. Hence, this is the required solution.
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Answer:
HM = 11
CD = 12.5
Step-by-step explanation:
![A)](https://tex.z-dn.net/?f=A%29)
![1)\ NH*HM = JH * HK](https://tex.z-dn.net/?f=1%29%5C%20NH%2AHM%20%3D%20JH%20%2A%20HK)
![2)\ 33 * HM = 363](https://tex.z-dn.net/?f=2%29%5C%2033%20%2A%20HM%20%3D%20363)
![3)\ HM = 11](https://tex.z-dn.net/?f=3%29%5C%20HM%20%3D%2011)
![B)](https://tex.z-dn.net/?f=B%29)
![1)\ GV^2 = VC * (DC + AC)](https://tex.z-dn.net/?f=1%29%5C%20GV%5E2%20%3D%20VC%20%2A%20%28DC%20%2B%20AC%29)
![2)\ 15^2 = 10 * (CD + 10)\\](https://tex.z-dn.net/?f=2%29%5C%2015%5E2%20%3D%2010%20%2A%20%28CD%20%2B%2010%29%5C%5C)
![3)\ 225 = 10CD + 100\\](https://tex.z-dn.net/?f=3%29%5C%20225%20%3D%2010CD%20%2B%20100%5C%5C)
![4)\ 125 = 10CD\\](https://tex.z-dn.net/?f=4%29%5C%20125%20%3D%2010CD%5C%5C)
![5)\ CD = 12.5](https://tex.z-dn.net/?f=5%29%5C%20CD%20%3D%2012.5)
Formula:
V = 1/3 * b^2 * h
Plug in what we know:
V = 1/3 * 7^2 * 16
Simplify the exponent:
V = 1/3 * 49 * 16
Multiply all 3 numbers together:
V = 261.3cm^3
Answer:
2 2/5
Step-by-step explanation:
We can write an algebra formula so let the number be Y
Y x 75% = 15
Y = 15/75% (aka 15/0.75)
therefore Y = 20
Answer:
i think its 45 meters cubed
Step-by-step explanation: