Question

Marna is flying a helicopter at 1,350 feet and sees an airplane 2,400 horizontal feet in front of her, but is also an unknown vertical distance above her. Marna knows the angle of elevation is 54 degrees. How far is the airplane from the ground?(1 point)

4,714 feet

5,245 feet

3,303 feet

4,653 feet

Answer 1

Let h be the vertical difference. Then tan(54°) = h / 2400, so h = 2400·tan(54°) ≈ 2400·1.37638 ≈ 3303.32 ft. The plane's altitude = 1350 + 3303.32 ≈ 4653 ft.

Answer: 4,653 feet.