Question

NEED HELP ASAP!!!

A plane is flying 4200 m above the ground level. the angle of elevation from the control tower to the plane is 15.3°.
what is the horizontal distance from the plane to the control tower?
round your answer to the nearest tenth.

Answer 1

The horizontal distance from the plane to the control tower is approximately 7983.6 meters.

Explanation:

To find the horizontal distance from the plane to the control tower, we can use trigonometry.

We know that:

The angle of elevation from the control tower to the plane is 15.3°

The height of the plane above the ground level is 4200 m

We can use the tangent function to find the horizontal distance:

Distance = (Height) / (tan(Angle of Elevation))

Distance = 4200 / (tan(15.3))

Using a calculator or a table of tangent values, we can approximate the horizontal distance to be approximately 7983.6 meters.

Rounding to the nearest tenth, we get 7983.6m ≈ 7983.6m

So the horizontal distance from the plane to the control tower is approximately 7983.6 meters.