walking you begin by heading 300 meters directly east. then travel 175 meters north. Finally you go 45 meters at 30 degrees north of east, find displacement.

Question

we were taught how to do this but I didn't understand. Our teacher gave us the answer but he wants us to work it out and all I've done is draw the triangles. I want to not fail this class hahaha. the answer is 327m @ 37 degrees NE

Answer 1

 

Pythagorean  sqrt(300^2 + 175^2) = 347.311

 

The angle is arctan(175/300) = 30.25 degrees

 

So it's (347.311, 30.25 degrees)

 

The second vector is (45,30)

sin 30 = y/45

1/2 = y/45

y = 22.5

 

x = sqrt( 45^2 - 22.5^2)

   = sqrt( 2025 - 506.25)= 38.9711

 

Total x is 300 + 38.9711 = 338.9711

Total y is 175 + 22.5 = 197.5

 

The total displacement : 392.31

 

The angle is 30.22