SOLUTION: a group of backpackers, after three days hiking are 30 km north of their starting position. on the first day they hiked 20km east, on the 2nd day they hiked 30 km in a direction 53

Algebra.Com
Question 977365: a group of backpackers, after three days hiking are 30 km north of their starting position. on the first day they hiked 20km east, on the 2nd day they hiked 30 km in a direction 53 degree north of west. use the component method to calculate their displacement on the third day.
I got 40km 37° N of E but I'm not really sure.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!

.
.
Let positive x be east, positive y be north.
(,)+(,)+(,)=(,)
.
.
.
X components :


Y components :


.
.
.



.
.



17.9 degrees W of N.

RELATED QUESTIONS

a group of friends went on a 3 day trip. during the second day of the hike, the group... (answered by josmiceli)
The number of miles greg hiked in the first four days of a hiking trip are shown. At... (answered by edjones)
A man travels 5 km due north from his starting point and then travels a further 8 km in a (answered by Theo)
A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a (answered by checkley71)
A family makes a 43.25 km trip in 5.5 hours. On the first part of the trip they crossed a (answered by ankor@dixie-net.com)
The distances between villages A and B is 60km. Can three backpackers who are at A get to (answered by josmiceli)
Daniela and Jack are hiking a steady incline. They use their GPS device to determine... (answered by rfer)
The Hiking Club plans to go camping in a State Park where the probability of rain on any... (answered by ikleyn)
The Hiking Club plans to go camping in a State park where the probability of rain on... (answered by htmentor)