You are camping with two friends, joe and karl. since all three of you like your privacy, you don't pitch your tents close together. joe's tent is 19.0 m from yours, in the direction 19.0° north of east. karl's tent is 45.0 m from yours, in the direction 39.0° south of east. what is the distance between karl's tent and joe's tent?

Distance between Karl and Joe is 38.467 m

Solution:

Let us assume that you are at origin

Now, as per the question:

Joe's tent is 19 m away from yours in the direction north of east.

Now,

Using vector notation for Joe's location, we get:

Now,

Karl's tent is 45 m away from yours and is in the direction south of east, i.e.,   from the positive x-axis:

Again,  using vector notation for Karl's location, we get:

Now,  obtain the vector difference between and :

Now, the distance between Karl and Joe, d:

|\vec{d}| = |17.01\hat{i} - 34.51\hat{j}|

d = 38.469 m

The distance between Karl's and Joe's tent is:

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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