# An elk walks 25km [E 53.13° N] then walks 20km [S], and runs 15km [W]. The journey takes 12h. Find average velocity & average speed.?

I'm not sure how to draw this out. What does [E 53.13° N] mean? I assume 53.13° North of East, which is 36.87°. My sketches don't seem correct.

### 1 Answer

- MathguyLv 54 weeks agoFavorite Answer
E 53.13˚ N means start from Eastern axis [ the + x qxis ], move in the North direction by an angle of 53.13˚, and go 25 km along this direction.

so [ Starting axis ], ( angle) , [ rotate towards this axis ]

e.g. N 20˚ W means from your starting point, find the N direction, then turn 20˚ towards the West direction.

And yes , E 53.13˚ N is the same as N 36.87˚ E

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It would seem that your ave speed would be total dist / total time I assume ave velocity is change in displacement [ basically final position - initial position ] / total or elapsed time.

The path seems to form a complete triangle, start at origin, ends up back at origin... technically facing due West.

I'll let you calculate the total distance covered.

the S walk of 20 km is = to the amount the elk moved North , since 25 sin ( 53.13˚ ) = 20 km , and 25 cos ( 53.13˚) = 15 km.