Deanna is flying a helicopter at 1,500 feet and sees an airplane 2,900 feet in front of but is also above her. Deanna knows the angle of elevation is 64 degrees. How far is the airplane from the ground?(1 point)
Options
2,914 feet
7,446 feet
4,400 feet
3,631 feet
To find the distance from the airplane to the ground, we can use trigonometry.
Let x be the distance from the airplane to the ground.
sin(64 degrees) = (x / 2900)
sin(64 degrees) = x / 2900
x = 2900 * sin(64 degrees)
x ≈ 2746.83 feet
Therefore, the airplane is approximately 2,747 feet from the ground. None of the options provided match this calculation exactly, but the closest option is 2,914 feet.