Question

Can somebody please check my work for this trig quiz? I'll give a medal.

Answer 1

Question 1 (Multiple Choice Worth 4 points)

(07.04 MC)

An observer (O) 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)?

A diagram is shown with two parallel lines cut by a transversal. One angle is marked 23 degrees, one side is marked 5000 and another side is marked x.

5429 feet

9063 feet

11,779 feet

12,788 feet

Question 2 (Multiple Choice Worth 4 points)

(07.04 MC)

A bird (B) is spotted flying 6,000 feet from a tower (T)). An observer (O) spots the top of the tower (T)) at a distance of 9,000 feet. What is the angle of depression from the bird (B) to the observer (O)?

Right triangle OTB is shown. Side OT labeled 9000 and side TB is labeled 9000. The angle B is labeled x degrees.

33.69°

41.81°

48.18°

56.31°

Question 3 (Multiple Choice Worth 4 points)

(07.04 MC)

An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)?

A right triangle is shown with one angle marked 55 degrees, one side marked x and the height marked 21000 feet.

20,793 feet

25,636 feet

28,793 feet

36,585 feet

Question 4 (Multiple Choice Worth 4 points)

(07.04 MC)

Find the length of the base of the following pyramid given the height of the pyramid is 211 meters and the angle of elevation of the base of the pyramid is 62°.

An image of a square pyramid is shown with a right triangle embedded inside it. The face is at an incline of 211 degrees. The height is labeled 62 degrees and the corner of the right angle is marked with a letter P.

75 feet

189 feet

224 feet

478 feet

Question 5 (Multiple Choice Worth 4 points)

(07.04 MC)

An observer (O) spots a bird flying at a 55° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 15,000 ft., how far is the bird (B) from its nest (N)?

A right triangle is shown with one angle marked 55 degrees, one side marked x and one side marked 15000 feet.

8604 feet

12,287 feet

18,366 feet

21,422 feet

Answer 2

I'll post the pictures, too

Answer 3

The pictures are in order. My answers were:
1: c
2:d
3:b
4:c
5:a

Answer 4

Ignore where the questions say (7.04 mc)

Answer 5

They are all correct.

Answer 6

awesome. thank you!

Answer 7

thank you @tukitw