Question

An airplane pilot over the pacific sights an angle of depression of 5 at this time the horizontal distance from th the airplane to the atoll is 4629 meters


403
405
4611
4647

Answer 1

X = 4629 * tan(5) = 404.98 ≈ 405.

The correct answer would be 405.

Answer 2

The height of the plane is 405 meters from the ground and this can be determined by using the trigonometric functions.

Given :

An airplane pilot over the Pacific sights an atoll at an angle of depression of 5. The horizontal distance from the airplane to the atoll is 4629 meters.

The following steps can be used in order to determine the height of the plane:

• Step 1 - The trigonometric functions can be used in order to determine the height of the plane.

$\tan(\theta)=\dfrac{P}{B}$    --- (1)

where B is the base and P is the perpendicular of the triangle.

• Step 2 - According to the given data, the angle is 5 degrees and the horizontal distance from the airplane to the atoll is 4629 meters.

• Step 3 - Now, substitute the values of P and B in the expression (1).

$\tan(5)=\dfrac{H}{4629}$

where H is the height of the plane from the ground.

• Step 4 - Simplify the above expression.

$H= \tan(5)\times 4629$

$H \approx 405\;{\rm meters}$

The height of the plane is 405 meters from the ground.

For more information about trigonometric functions, refer to the link given below:

https://brainly.com/question/13710437