maths
posted by christine .
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
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
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°), 3025sin(30°)
=(21.65,17.5)
Use Pythagoras theorem to calculate the distance from the original point (0,0). 
maths 
nathi
50degrees

maths 
sbu
30
Respond to this Question
Similar Questions

physics
Oasis B is a distance d = 9 km east of oasis A, along the x axis shown in the Figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 20 km west of due south by angle θ1 = 15.0°. It then … 
PHYSICS
Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 28.0 in a direction 60.0 west of north. Jane walks 10.0 in a direction 30.0 south … 
physical
Oasis B is a distance d = 8.0 km east of oasis A, along the x axis shown in the figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 21 km west of due south by angle θ1 = 15.0°. It then … 
physics
A camel sets out to cross the desert, which is 49.8 km wide in the northsouth direction. The camel walks at the uniform speed 2.64 km/hr along a straight line in the direction 50.1 north of East (only the camel knows why he chose … 
Physics
A camel sets out to cross the desert, which is 42.7 km wide in the northsouth direction. The camel walks at the uniform speed 3.81 km/hr along a straight line in the direction 51.9◦ north of East (only the camel knows why he … 
physics
Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 24.0 in a direction 60.0 west of north. Jane walks 10.0 in a direction 30.0 south … 
Physics
Oasis B is a distance d = 7.0 km east of oasis A, along the x axis shown in the figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 22 km west of due south by angle θ1 = 15.0°. It then … 
Physics
A boy walks 10 m due west and 10m due south.What is the displacement.[2]a girl walks 12m northwards,5m eastwards and 7m southwards.Calculate her total displacement[3]a man walks 5km south and 3km in the direction 60 degree west of … 
physics
Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks20 km in a direction 15.0° south of east and then walks32 km due north. If it is to then walk directly to B, (a) how far and (b) in what direction (relative … 
math
A man walks due west for 4km. He then changes direction and walks on a bearing of 179 until he is southwest of his starting point.How far is he then from his starting point?