contestada

4. (07.04 MC)

An observer (0) spots a plane (P) taking off from a local airport and flying at a 23° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B)

circling directly above her. If the distance from the plane (P) to the tower (T) is 5,000 ft., how far is the bird (B) from the plane (P)? Round to the nearest whole number.

Respuesta :

lublana

Answer:

11779 ft

Step-by-step explanation:

We are given that

[tex]\theta=23^{\circ}[/tex]

Distance between tower and plane,d=5000 ft

We have to find the distance between the plane and bird.

Let x  be the distance between bird and plane

We know that

[tex]tan\theta=\frac{perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tan23=\frac{5000}{x}[/tex]

[tex]x=\frac{5000}{tan23}=11779.3 \approx 11779ft[/tex]

Hence, the distance between the plane and bird=11779 ft

enoehtfiguereo2024

Answer:

11779 ft

Step-by-step explanation:

We are given that

Distance between tower and plane,d=5000 ft

We have to find the distance between the plane and bird.

Let x  be the distance between bird and plane

We know that

Using the formula

Hence, the distance between the plane and bird=11779 ft