Write a recursive formula and an explicit formula for the following arithmetic sequence.
1 answer:
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<u>Given</u>:
The lines AB and CD, on horizontal ground.
The height of AB is 500 m.
The height of CD is 350 m.
The angle of elevation of B from D is 30°
We need to determine the distance AC.
<u>Length of BE:</u>
Let us construct a line that is parallel to AC.
Let the line be ED.
The length of BE is given by
Thus, the length of BE is 150 m
<u>Length of ED:</u>
The length of ED can be determined using the trigonometric ratio.
Thus, we have;
Substituting the values, we get;
Thus, the length of ED is 50√3 m
<u>Length of AC:</u>
From the figure, it is obvious that the sides ED and AC have the equal length.
Thus, we have;
AC = ED = 50√3
Simplifying, we get;
Hence, the length of AC is 86.6 m
