Answer:
The length of the wire is 76.19 m.
Step-by-step explanation:
It is given that a guy wire is attached to the top of a radio antenna and to a point on horizontal ground that 40 m from the base of the antenna.
It means base of the right angled triangle is 40 m.
The wire makes an angle of 58deg 20min with the ground.
1 degree = 60 min
Using this conversion convert the given angle in degree.
![58^{\circ}20'=58^{\circ}\frac{20}{60}^{\circ}=58\frac{1}{3}^{\circ}=\frac{175}{3}^{\circ}](https://tex.z-dn.net/?f=58%5E%7B%5Ccirc%7D20%27%3D58%5E%7B%5Ccirc%7D%5Cfrac%7B20%7D%7B60%7D%5E%7B%5Ccirc%7D%3D58%5Cfrac%7B1%7D%7B3%7D%5E%7B%5Ccirc%7D%3D%5Cfrac%7B175%7D%7B3%7D%5E%7B%5Ccirc%7D)
In a right angled triangle
![\cos \theta=\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
![\cos (\frac{175}{3}^{\circ})=\frac{40}{hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%20%28%5Cfrac%7B175%7D%7B3%7D%5E%7B%5Ccirc%7D%29%3D%5Cfrac%7B40%7D%7Bhypotenuse%7D)
![0.525=\frac{40}{hypotenuse}](https://tex.z-dn.net/?f=0.525%3D%5Cfrac%7B40%7D%7Bhypotenuse%7D)
![hypotenuse=\frac{40}{0.525}](https://tex.z-dn.net/?f=hypotenuse%3D%5Cfrac%7B40%7D%7B0.525%7D)
![hypotenuse=76.190](https://tex.z-dn.net/?f=hypotenuse%3D76.190)
Therefore the length of the wire is 76.19 m.
Answer:
the answer is -28/20 hope it helps
Answer:
3
Step-by-step explanation:
8.4 ÷ 3 = 2.8
(Hopefully this answers your question)