While following a treasure map, you start at an old oak tree. you first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 32.0° north of east, where you find the treasure: a biography of isaac newton! (a) to return to the old oak tree, in what direction should you head and how far will you walk? use components to solve this problem. (b) to see whether your calculation in part (a) is reason- able, compare it with a graphical solution drawn roughly to scale.

You would have to walk 885.78m at 39.7° west of south

Explanation:

In the diagram you can see the graphical solution. The rectangular coordinates of each point are:

A (0,0) m Where the Oak tree is.

B (0, -825) m

C (-625, 257.53) m

D (709.8, 529.9) m Where the treasure is

The final segment DA will be the vector (D - A)

DA (-709.8, -529.9) m = (885.78 < -126.743°) which is a vector on the 3rd quadrant, so the answer is:

A walk of 885.78m at 39.743° west of south

answer: a ball

explanation: because it will bounce

they should be similar or the same