Respuesta :
Answer:
D. x2 = 52 + 32 – 2(5)(3)cos(140°)
Step-by-step explanation:
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°). Option B is corect.
What is the distance?
Distance is a numerical representation of the distance between two objects or locations.
The distance can refer to a physical length or an estimate based on other factors in physics or common use. |AB| is a symbol for the distance between two points A and B.
Distance is measured in the meter, centimeter, miles, nautical mile, feet, etc. The unit of distance is most important to find it.
The distance, x, from the starting point is;
From the cos law ;
x² = a² +b²-2ab cosΘ
From the digrame it is obtained that;
a =5
b =3
Θ = 180 ° +70° -30°
Θ = 180°- 40°
Θ = 140°
Substitute the values;
x² = a² +b²-2ab cosΘ
x²=5²+3²-2(5)(3)cos(140°)
The equation measures the cyclist's distance, x, from the starting point will be x²=5²+3²-2(5)(3)cos(140°).
Hence option B is corect.
To learn more about the distance refer to the link;
https://brainly.com/question/26711747
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