If he feels the chances of low, normal, and high precipitation are 30 percent, 20 percent, and 50 percent respectively, What is
1 answer:
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The representation of this problem is shown in Figure 1. So our goal is to find the vector 
. From the figure we know that:
From geometry, we know that:
Then using vector decomposition into components:
Therefore:
So if you want to find out <span>how far are you from your starting point you need to know the magnitude of the vector, that is:
</span>
Finally, let's find the <span>compass direction of a line connecting your starting point to your final position. What we are looking for here is an angle that is shown in Figure 2 which is an angle defined with respect to the positive x-axis. Therefore:
</span>
From geometry, we know that:
Then using vector decomposition into components:
Therefore:
So if you want to find out <span>how far are you from your starting point you need to know the magnitude of the vector
</span>
Finally, let's find the <span>compass direction of a line connecting your starting point to your final position. What we are looking for here is an angle that is shown in Figure 2 which is an angle defined with respect to the positive x-axis. Therefore:
</span>