Question

X

Answer 1

Answer:

$2403\:\mathrm{m}$

Step-by-step explanation:

We can form a right triangle and use trigonometry for a right triangle to solve this. The ground distance the plane travels is its displacement in the x-direction. The 2500 meters the plane moves through represents the hypotenuse of right triangle, and the ground distance is the adjacent leg of the $16^{\circ}$ angle. Therefore, we set up the following equation:

$\cos 16^{\circ}=\frac{x}{2500}$, where $x$ is the ground distance.

Solving, we get $x=2500\cdot \cos 16^{\circ} \approx \fbox{ 2403\:\mathrm{m} }$.