The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The distance between A and B is 85.6 yds.
The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,
![c=\sqrt{a^{2}+ b^{2}-2ab.cos \theta }](https://tex.z-dn.net/?f=c%3D%5Csqrt%7Ba%5E%7B2%7D%2B%20b%5E%7B2%7D-2ab.cos%20%5Ctheta%20%7D)
where
c is the third side of the triangle
a and b are the other two sides of the triangle,
and θ is the angle opposite to the third side, therefore, opposite to side c.
The three points A, B, and C will form a triangle. Therefore, using the law of cosine the measure of the third side AB can be written as,
![AB=\sqrt{(AC)^{2}+(B C)^{2} -2(AC)(BC).Cos(51.2)^{o} }](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%28AC%29%5E%7B2%7D%2B%28B%20C%29%5E%7B2%7D%20-2%28AC%29%28BC%29.Cos%2851.2%29%5E%7Bo%7D%20%20%7D)
![AB=\sqrt{(80)^{2}+(104)^{2} -2(80)(104).Cos(51.2)^{o} }](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%2880%29%5E%7B2%7D%2B%28104%29%5E%7B2%7D%20-2%2880%29%28104%29.Cos%2851.2%29%5E%7Bo%7D%20%20%7D)
![AB=\sqrt{6400+10816 -16640.Cos(51.2)^{o} }](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B6400%2B10816%20-16640.Cos%2851.2%29%5E%7Bo%7D%20%20%7D)
![AB=\sqrt{7328.4}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B7328.4%7D)
AB = 25.6 yd
Hence, the distance between A and B is 85.6 yds.
Learn more about the Law of Cosine:
brainly.com/question/17289163
#SPJ4
Where’s the table? There is no picture
Answer:
I estimated about 358.39 Meters i may be wrong
Explanation:
in recent years, various forms of media—newspapers, television stations, radio networks, and even blogs—are increasingly owned by A small number of corporations.
<h3>What are the Forms of Media?</h3>
- Print media (books, magazines, and newspapers), television, movies, video games, music, cell phones, various types of software, and the Internet are just a few of the many formats available for modern media.
- Each sort of media consists of a delivery mechanism—a device or other item—through which the material is transmitted. The word "medium" is pluralized to "media," which (generally speaking) refers to any channel of communication. This can be anything, from printed paper to digital data, and it includes information in a wide variety of forms, including art, news, and educational materials.
- in recent years, various forms of media—newspapers, television stations, radio networks, and even blogs—are increasingly owned by A small number of corporations.
To learn more about Forms of Media refer to:
brainly.com/question/5369247
#SPJ4