Charles is flying a helicopter at 1,350 feet and sees an airplain 2,400 feet in infront of but also above him. Charles knows the angle of elevation is 54°. How far is the airplane from the gound?
The correct answer is 2761 feet.
Therefore, the airplane is approximately 2761 feet from the ground.
To find the distance from the airplane to the ground, we can use trigonometry.
Since the angle of elevation is 54° and the height of the helicopter is 1,350 feet, we can create a right triangle with the height of the helicopter as the opposite side and the distance from the helicopter to the airplane as the adjacent side.
Using the tangent function: tan(54°) = opposite/adjacent
tan(54°) = 1,350/adjacent
adjacent = 1,350 / tan(54°)
adjacent ≈ 1,350 / 1.376
adjacent ≈ 980.07 feet
Therefore, the airplane is approximately 980.07 feet from the ground.
options are:
3094 feet
4653 feet
2761 feet
3303 feet