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The question is about the angle of depression (see full question below). Please note that the correct answer, that is, the angle of depression from the platform to the center of the bridge, is 16.6⁰.
Step 1
Recall that the bottom of the rectangle has the same dimensions as the top.
Therefore,
tan = [tex]\frac{opposite}{adjacent}[/tex]
Thus, tan x = 297/995
Step 2 - We locate or calculate the inverse tangent of both sides. This results in:
x = tan⁻¹ ([tex]\frac{297}{995}[/tex])
Hence, x = 16.6⁰ approximately.
The full question is given here:
Suppose you are standing in the middle of the platform of the world's longest suspension bridge, the Akashi Kaikyo Bridge. If the height from the top of the platform holding the suspension cables is 297 meters, and the length from the platform to the center of the bridge is 995 meters, what is the angle of depression from the platform to the center of the bridge?
Learn more about angles of depression at:
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