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)options are:

Question

3094 feet

4653 feet

2761 feet

3303 feet

Answer 1

To find the distance of the airplane from the ground, we can use trigonometry.

Let x be the distance of the airplane from the ground.

Using the sine function:
sin(54 degrees) = (2400 - x) / 1350
sin(54 degrees) = (2400 - x) / 1350
1350 * sin(54 degrees) = 2400 - x
1350 * 0.809 = 2400 - x
1092.15 = 2400 - x
x = 2400 - 1092.15
x = 1307.85

So, the airplane is approximately 1307.85 feet from the ground.

None of the options provided match this answer exactly, but the closest option is 1307.85, which is approximately 1307.85 feet.