An eagle has a forward force due to its wings at 6n the drag force is 4n backwards and it's lift force is 20 n upward what is the net force of the bird?

20.1 N at 84°

Step-by-step explanation:

The forward force is 6 N and the drag force is 4 N, giving a net forward force of 2 N.

To this, we add the upward force of 20 N.

The upward and the forward forces are at right angles to each other, so we can use the Pythagorean theorem to determine the resultant (i.e., the hypotenuse of the right triangle).

R² = 2² + 20² = 4 + 400 = 404

R = √404 ≈ 20.1 N

tanθ = 20/2 = 10

θ = arctan10 ≈ 84°

The net force is 20.1 N at an angle of 84°.

The angle is only 6° from the vertical, so the eagle is going almost straight up.