At takeoff a plane flies at an angle of 10 degrees with the runway. After it has traveled a ground distance of 2,800 ft. Find th

Question

3 years ago

12

e vertical distance the plane has gained from takeoff.

1 answer:

Sonja [21] · Answer 1 · 2022-02-26T23:14:14+03:00

Sonja [21]3 years ago

4 0

<h2>Vertical distance gained from takeoff is 493.72 ft</h2>

Step-by-step explanation:

Refer the figure.

Horizontal distance = AB = 2800 ft

Angle = ∠B = 10°

We need to find AC that is h.

We have

$tanB=\frac{AC}{AB}\\\\tan10=\frac{h}{2800}\\\\h=2800\times tan10=493.72ft$

Vertical distance gained from takeoff = 493.72 ft