15.07.2022 - 11:51

The depth sensor on a boat shows that the boat is 57 feet above the seafloor.The rope that holds the anchor is 80 feet long. \approx imate the angle of depression from the boat to the anchor on the seafloor to the nearest tenth of a degree?

Question:

The depth sensor on a boat shows that the boat is 57 feet above the seafloor.The rope that holds the anchor is 80 feet long. \approx imate the angle of depression from the boat to the anchor on the seafloor to the nearest tenth of a degree?

Answers (1)
  • Cecilia
    April 6, 2023 в 21:35
    The angle of depression is the angle between the horizontal line of sight and the downward line of sight to the anchor on the seafloor. To \approx imate this angle, we can use the tangent function, which is the opposite side (distance from the boat to the seafloor) divided by the adjacent side (length of the rope holding the anchor). tan(angle of depression) = opposite/adjacent tan(angle of depression) = 57/80 angle of depression = atan(57/80) angle of depression = 35.5 degrees (rounded to the nearest tenth) Therefore, the angle of depression from the boat to the anchor on the seafloor is \approx imately 35.5 degrees.
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