Question

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 the vertical distance the plane has gained from takeoff.

Answer 1

Vertical distance gained from takeoff is 493.72 ft

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