A pirate has buried his treasure on an island with five
trees located at the following points:
A(30.0 m,20.0 m), B(60.0 m, 80.0 m), C (10.0 m, 10.0 m), D(40.0 m, 30.0 m), and E(70.0 m, 60.0 m).
All points are measured relative to some origin. Instructions on the map tell you to start at A and move toward B, but to cover only one-half the distance
between A and B. Then, move toward C, covering one-third the distance between your current location and C. Next, move toward D, covering one-fourth the distance between where you are and D. Finally, move toward E, covering one-fifth the distance between you and E, stop, and dig.
What are the coordinates of the
point where the pirate’s treasure is buried?
11OK
First
Half AB Therefore the (45,50)
Then 1/3 C = (33.33,36.33)
Towards D 1/4 = (35,34.83)
Towards E 1/ 5 =(42,39.9)
There approx = (42,40)
Am i rite?
9ur ans are rite but i need an elagant explanation
( possibly using vectors )
part b of the Q :
rearrange the order of the trees, (for instance, B(30.0 m,20.0 m), A(60.0 m, 80.0 m), E(10.0 m, 10.0 m), C(40.0 m,30.0 m), and D(70.0 m, 60.0 m), and repeat
the calculation to show that the answer does not
depend on the order of the trees.
1yup
try this one
in large
meadow, beneth a lonely oak and a lonely pine.
There thou wilt see also an
old gallows on which we once were wont to hang traitors. Start
thou from the gallows and walk to the oak counting thy steps.
At the oak thou must turn right by a right angle and take the
same number of steps. Put here a spike in the ground. Now must
thou return to the gallows and walk to the pine counting thy
steps. At the pine thou must turn left by a right angle and see
that thou takest the same number of steps, and put another spike
into the ground. Dig halfway between the spikes; the treasure
is there."
now the gallows has rotten away...
but we can still find the treasure
explain how?
9if Oak is origin
pine is p vector
then treasure = p(1 + i )/2 using argand plane
1@ celes ...dese qns are reallly gud and thought provoking....whereddya get them from?