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
Answer:
Yabure kabure no yabu isha ga take yabu
no naka e sutta kora sa yabu karabōni sutta kora sa
yaburetaraburetāmotte sutta kora sa
Explanation:
It is a synonym for a purely competitive market (perfect competition). On this type of market the supply (of a homogenous good) is big, and the price is determined by the demand of this goods. Therefore, suppliers on this market are known as price takes. So the model shows supply, demand and therefore the price and quantity in equilibrium.
Answer:
Quality
Explanation:
If you substitute the other 4 words, the sentence simply does not make sense