Total displacement using vector diagram

[Muhammad Khalid Khan]

A car is driven eastward for a distance of 50 miles, then northward for 30 miles, and then in a direction 30 degree east of north for 25 miles. Draw the vector diagram and determine the total displacement of the car from its starting point.

The relevant equations I used here are: i) r_x= a_x + b_x + c_x
ii) r_y=a_y + b_y + c_y
iii) r= √(r_x² + r_y²)
My attempt regarding this problem is as follows: (Please see the photos)

 

[Buffu]

View attachment 110471 View attachment 110472 A car is driven eastward for a distance of 50 miles, then northward for 30 miles, and then in a direction 30 degree east of north for 25 miles. Draw the vector diagram and determine the total displacement of the car from its starting point.

The relevant equations I used here are: i) r_x= a_x + b_x + c_x
ii) r_y=a_y + b_y + c_y
iii) r= √(r_x² + r_y²)
My attempt regarding this problem is as follows: (Please see the photos)

Looks correct to me.

 

[Muhammad Khalid Khan]

Looks correct to me.

Have I done it right?

 

[Mark44]

In the future, please take care to post images that aren't rotated. Also, please don't delete the three parts of the homework template.