Dividing polynomials using long divison. Show work as well

Here, O represents the observer , P represents the Plane,  T represents the tower and B represents the Bird

As per the statement:

The observer also notices a bird (B) circling directly above her and the distance from the plane (P) to the tower (T) is 5,000 ft.

⇒Distance from the plane to the tower = 5000 ft.

Angle of elevation()= 23 degree.

We have to find how far is the bird (B) from the plane (P):

Using cosine ratio:

See the diagram as shown below:

Here, Base side = 5000 ft and Hypotenuse side = distance of bird from the plane

Substitute the given values we have;

or

Simplify:

ft

Therefore, 5432 ft far is the bird (B) from the plane (P)