Danielle Cecil's driver-rating factor is 1.60 and her car is in age group D and insurance-rating group is 12.
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Answer:
<h3>240.72 miles</h3>Step-by-step explanation:
First, in the picture we have a drawing of this exercise. In this case, I will call A to the western station, and B the eastern station.
According to this, we have a triangle there, and we need to calculate the distance between C and A (Distance AC). This is the diagonal of that triangle. We only have the length of side AB which is 117 miles, and now, to get the side AC we need to use the sin law.
First, let's calculate the angle in B:
<ABC = 15 + 90 = 105°
This is the angle of that side of the triangle.
The angle in A:
<CAB = 90 - 43 = 47°
The angle in C:
<ACB = 180 - 47 - 105 = 28°
We have the three angles now.
Now the sin law is:
Sin< = opossite leg / hypotenuse
hypotenuse = opposite leg / sin<
Equaling both we have:
hypotenuse = AB / sin<ACB = AC/sin<ABC
AC = AB sin<ABC / sin<ACB
Solving for AC we have:
AC = 117sin105 / sin28
AC = 240.72 miles
