Marna is flying a helicopter at 1,350 feet and sees an airplane 2,400 feet in front of but also above her. Marna knows the angle of elevation is 54 degrees. How far is the airplane from the ground?(1 point) Responses
The airplane is 3,300 feet from the ground.
To calculate this, use the tangent of the angle of elevation:
tan(54 degrees) = (distance from Marna to the airplane) / (difference in height between Marna and the airplane)
tan(54) = x / (2400 - 1350)
tan(54) = x / 1050
x = 1050 * tan(54)
x ≈ 3,300
So, the airplane is approximately 3,300 feet from the ground.