Answer :
Final answer:
The plane is approximately 1555 meters from the runway. This is calculated using the tangent of the angle of depression and the height of the plane.
Explanation:
The distance that the plane is from the runway can be found using basic trigonometry. Given the height and the angle of depression, we can use the tangent of the angle of depression which is the ratio of the opposite side (height) to the adjacent side (distance).
In this case, tan(θ) = height / distance
Here, θ is 42° and the height is 1330 m. We can rearrange the formula to solve for the distance:
Distance = height / tan(θ)
So, distance = 1330 / tan(42°)
When you calculate that, you get the distance approximately 1555 meters.
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