From an airplane at an altitude of 1200,
the angle of depression to a rock on the ground measure 28 degrees find the horizontal distance from the plane to the rock?
d/1200 = cot 28°
65656446
255.6
To find the horizontal distance from the plane to the rock, we can use trigonometry. Specifically, we can use the tangent function.
Let's denote the horizontal distance as 'x'.
Given that the angle of depression is 28 degrees, we can label this angle as 'θ'.
Now, we know that the tangent of an angle is equal to the opposite side divided by the adjacent side in a right triangle. In this case, the opposite side is the altitude of the plane (1200) and the adjacent side is the horizontal distance (x).
So, we have the equation:
tan(θ) = opposite/adjacent
tan(28) = 1200/x
To find 'x', we can rearrange the equation:
x * tan(28) = 1200
Now, divide both sides by tan(28):
x = 1200 / tan(28)
Using a calculator, we can compute the value of 'x':
x ≈ 2280.01
Therefore, the horizontal distance from the plane to the rock is approximately 2280.01 units.