a. Find the graph in the attachment
b. As h increases, e tends to 90°
Since you are standing 22 feet from a tall building that has a glass elevator on the exterior wall facing you. You watch the elevator as it ascends to the top of the building.
The height h (in feet) of the elevator above the ground can be modeled by h = 22tane.
To plot the graph, we see that the function is the tangent function.
The tangent function has the value -∞ ≤ tanx ≤ +∞ for -90° ≤ x ≤ 90°
Since e is our angle of elevation and e ≥ 0, that is 0 ≤ e ≤ 90°. So, we choose the range of values for which tane ≥ 0. So, 0 ≤ tane ≤ +∞
So, we plot h = 22tane for 0 ≤ e ≤ 90°
Find the graph in the attachment
From the graph, we seet that at high h or as h increases, e tends to 90°
So, as h increases, e tends to 90°
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