Using the Pythagorean Theorem, it is found that the base of the pole should be set 10 feet from the end of the wire.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs
and
of a right triangle with the length of the hypotenuse h, according to the following equation:
![h^2 = l_1^2 + l_2^2](https://tex.z-dn.net/?f=h%5E2%20%3D%20l_1%5E2%20%2B%20l_2%5E2)
In this problem, the distance is
, while the other measures are
, hence:
![24^2 + l_2^2 = 26^2](https://tex.z-dn.net/?f=24%5E2%20%2B%20l_2%5E2%20%3D%2026%5E2)
![l_2 = \sqrt{26^2 - 24^2}](https://tex.z-dn.net/?f=l_2%20%3D%20%5Csqrt%7B26%5E2%20-%2024%5E2%7D)
![l_2 = 10](https://tex.z-dn.net/?f=l_2%20%3D%2010)
The base of the pole should be set 10 feet from the end of the wire.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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Answer:
24yards
Step-by-step explanation:
A*b*sin(c) / 2
8*21*sin(68)=77.88 or rounded 77.9
Answer :
The value of x is 10.
Explanation :
Given that,
TM = (2x+8) m
ML = (3x-2) m
If a man (M) is standing halfway between a tree (T) and a lamppost (L).
The half distance is TM and half distance is TL.
So, Both half distance will be equal.
We need to calculate the value of x
Using given data
![TM=ML](https://tex.z-dn.net/?f=TM%3DML)
Put the value into the formula
![2x+8=3x-2](https://tex.z-dn.net/?f=2x%2B8%3D3x-2)
![2x-3x=-8-2](https://tex.z-dn.net/?f=2x-3x%3D-8-2)
![-x=-10](https://tex.z-dn.net/?f=-x%3D-10)
![x=10](https://tex.z-dn.net/?f=x%3D10)
Hence, The value of x is 10.