A person walks 24.0◦ north of east for 3.24 km. Another person walks due north and due east to arrive at the same location. How large is the east component of this second path?
How large is the north component of this second path?
Answer in units of km.
3.24 * cos 24 = east component
3.24 * sin 24 = north component
By the way, look at the questions and answers below.
To find the east and north components of the second path, we can use trigonometric ratios. Let's break down the information we have:
1. The initial person walks 24.0° north of east for 3.24 km.
2. The second person walks due north and due east to reach the same location.
Since the second person wants to reach the same location as the first person, the second person's path will create a right-angled triangle with the first person's path.
Now, let's find the east and north components of the second person's path:
1. East Component:
Since the first person is walking north of east, the east component of their motion would be given by: East Component = Distance * Cos(angle)
In this case, the angle is 24.0° and the distance is 3.24 km.
East Component = 3.24 km * Cos(24.0°)
Using a calculator, we find that the east component of the first person's path is 2.922 km.
2. North Component:
Since the second person walks due north, the north component of their motion will be the same as the north component of the first person's motion.
Therefore, the north component of the second person's path is also 3.24 km.
Hence, the east component of the second person's path is approximately 2.922 km, and the north component is 3.24 km.