i walked from four miles in the direction of 30 celisus south of east, then from there i walked 3 miles to west. from there i walked 5 miles directly toward north. hw far away am i from home?'
A: USE PARALLEO=LOGRAM GRAPHING METHOD.
B: USE CALCULATION METHOD
To determine how far away you are from home, we can use the calculation method.
First, let's break down the directions given. You walked from 4 miles in the direction of 30 degrees south of east, then 3 miles to the west, and finally 5 miles directly north.
To calculate the distance from home, we need to find the resultant displacement, which is the vector sum of all the individual displacements.
1. Start by drawing a diagram to represent your movements. Choose a reference point to represent your starting position (home).
2. From the starting position, draw a line 4 miles long in the direction 30 degrees south of east.
3. Next, draw a line 3 miles long in the direction west. This line will originate from the endpoint of the previous step.
4. Finally, draw a line 5 miles long in the direction north from the endpoint of step 3.
5. Now, we have a parallelogram formed by these lines. To find the diagonal of this parallelogram, which represents your resultant displacement, we will use the rule of parallelogram vector addition.
a. Draw a diagonal from the starting point (home) to the opposite corner of the parallelogram, forming a triangle.
b. Measure the length of this diagonal line using a ruler or measuring tool. This length represents your distance from home.
Using this method, you can determine the distance you are from home based on the given directions.