Posted by **christine** on Monday, June 6, 2011 at 8:28pm.

Starting from one oasis, a camel walks 25km in a direction 30 degrees south of west and then walks 30km toward the north to a second oasis. What distance separates the two oases?

- maths -
**Reiny**, Monday, June 6, 2011 at 10:12pm
I made a quick sketch and found the angle between the two paths to be 60°

So it becomes a simple Cosine Law

x^2 = 25^2 + 30^2 - 2(25)(30)cos60

= 775

x = √775 = 27.84 appr.

- maths -
**MathMate**, Monday, June 6, 2011 at 10:13pm
Take x as east, and y as north, and the starting position as (0,0).

The coordinates of the first stop are

(-25cos(30°), -25sin(30°)

The second stop is simply 30km towards +y, or

(-25cos(30°), 30-25sin(30°)

=(21.65,17.5)

Use Pythagoras theorem to calculate the distance from the original point (0,0).

## Answer This Question

## Related Questions

- Physics - Oasis B is a distance d = 7.0 km east of oasis A, along the x axis ...
- physical - Oasis B is a distance d = 8.0 km east of oasis A, along the x axis ...
- physics - Oasis B is a distance d = 9 km east of oasis A, along the x axis shown...
- physics - A camel sets out to cross the desert, which is 49.8 km wide in the ...
- Physics - A boy walks 10 m due west and 10m due south.What is the displacement.[...
- Physics - A camel sets out to cross the desert, which is 42.7 km wide in the ...
- physics - Ricardo and Jane are standing under a tree in the middle of a pasture...
- PHYSICS - Ricardo and Jane are standing under a tree in the middle of a pasture...
- physics - Ricardo and Jane are standing under a tree in the middle of a pasture...
- Calculus - Two lovers have a spat and swear they will never see each other again...

More Related Questions