An airplane pilot over the Pacific sights an atoll at an angle of depression of 7°. At this time, the horizontal distance from the airplane to the atoll is 3,729 meters. What is the height of the plane to the nearest meter
A. 458
B. 454
C. 3667
D. 3701
To find the height of the plane, we can use trigonometry.
Let h be the height of the plane. The angle of depression is 7°, which means that the angle between the horizontal line and the line of sight to the atoll is 7°.
Therefore, we can set up the following trigonometric relationship:
tan(7°) = h / 3729
Solving for h:
h = 3729 * tan(7°)
h ≈ 458 meters
Therefore, the height of the plane is approximately 458 meters.
So, the answer is:
A. 458