A plane is taking off at an angle θ=12°

Question

from a horizontal runway. To the nearest foot, find the distance the plane has flown when its altitude is 300 feet from the ground.

Answer 1

We can use trigonometry to solve this problem.

Let's denote the distance the plane has flown as d. We can then use the tangent function to relate the angle θ and the altitude of the plane:

tan(θ) = altitude / distance

Plugging in the given values, we have:

tan(12°) = 300 / d

To find d, we can rearrange the equation:

d = 300 / tan(12°)

Using a calculator, we can find:

d ≈ 1633 feet

Therefore, to the nearest foot, the distance the plane has flown when its altitude is 300 feet from the ground is 1633 feet.