Answer:
150 miles
Step-by-step explanation:
The movements are represented as:
[tex]N1 = 30miles[/tex]
[tex]E1 = 40miles[/tex]
[tex]N2 = 60miles[/tex]
[tex]E2 = 80miles[/tex]
Required
Determine the distance from the starting point
The student's movement is illustrated with the attached image.
First, calculate the total distance towards North.
[tex]N = N1 + N2[/tex]
[tex]N = 30 + 60[/tex]
[tex]N = 90[/tex]
Next, calculate the total distance towards East
[tex]E = E1 + E2[/tex]
[tex]E = 40 + 80[/tex]
[tex]E = 120[/tex]
The total distance from the starting point is calculated using Pythagoras theorem.
[tex]D^2 = N^2 + E^2[/tex]
[tex]D^2 = 90^2 + 120^2[/tex]
[tex]D^2 = 22500[/tex]
[tex]D = \sqrt{22500[/tex]
[tex]D = 150[/tex]
