Answer:
The distance between the point z and the point y can be found using the law of cosines:
c = sqrt[a^2 + b^2 - 2ab cos(theta)],
where a and b are the lengths of the legs of the right triangle formed by the two points and the origin of the coordinate system, and theta is the angle between the two vectors (theta = 155 - 045 = 110 degrees).
Therefore, the distance between the point z and the point y is
c = sqrt[(15m)^2 + (15m)^2 - 2(15m)(15m) cos(110 degrees)] = 17.3 m.
Step-by-step explanation:
Imagine you're standing at a starting line and you want to run to two different end lines: one that is directly in front of you, and another that is a bit to your right.
If you start running straight ahead and then suddenly change direction to the second end line, the shortest distance between where you started and where you ended will not be the straight line path between the two end points. Instead, you'll need to count how far away you moved straight ahead before you changed direction, and how far away you moved to the side after you changed direction. You'll also need to think about the angles at which you ran to each of these end lines.
To find the shortest distance between your starting point and where you ended, you need to use a formula called the law of cosines, which helps us calculate distances in triangles. This formula takes into account how far away you moved straight ahead and how far away you moved to the side, as well as the angles between the directions you ran.