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)
Responses
4,714 feet
4,714 feet
3,303 feet
3,303 feet
4,653 feet
4,653 feet
5,245 feet
3,303 feet
To find the unknown vertical distance above Marna, we can use the tangent of the angle of elevation:
Tan(54 degrees) = opposite / adjacent
Tan(54 degrees) = vertical distance / 2,400
Vertical distance = Tan(54 degrees) * 2,400
Vertical distance = 3,303 feet
Therefore, the airplane is 3,303 feet above the ground.