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?

Answer 1

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.

Answer 2

options are:
3094 feet

4653 feet

2761 feet

3303 feet

Answer 3

The correct answer is 2761 feet.

Therefore, the airplane is approximately 2761 feet from the ground.