Question

After takeoff, a plane flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. find the angle of elevation from the ground to the plane. round to the nearest degree.

Answer 1

The angle of elevation from the ground to the plane is approximately 11.3 degrees.

Step-by-step explanation:

To find the angle of elevation from the ground to the plane, we need to use the concept of right triangles. The distance the plane flies in a straight line is the hypotenuse of the triangle, and the altitude gained is the opposite side.

We will use the tangent of the elevation angle:

Tan(angle) = opposite/hypotenuse

Angle = arctan(opposite/hypotenuse)

In this case, the opposite side is 800 feet and the hypotenuse is 4000 feet. Plugging the values into the formula, we will get:

Angle = arctan(800/4000) = arctan(0.2) = 11.3°

Therefore, the angle of elevation from the ground to the plane is approximately 11.3 degrees.