# trig

posted by .

A plane is flying at an elevation of 30000 feet.

It is within sight of the airport and the pilot finds that the angle of depression to the airport is 18.

Find the distance between the plane and the airport.

Find the distance between a point on the ground directly below the plane and the airport.

• trig -

Isn't 30,000/slantdistance=sin18?

• trig -

huh?

• trig -

b=a(tanB)
where a is your altitude, B is your angle of depression and b is your distance to airport.

b=30,000(tan(72))
b=92,330.51

## Similar Questions

1. ### Pre-Calculus-Trig

A pilot in a plane at an altitude of 22,000 feet observes that the angle of depression to a nearby airport is 26 degrees. How many miles is the airport from a point on the ground directly below the plane?
2. ### pre cal

an airplane is flying at an altitude of 2500 feet parallel to the ground, and the ground distance to the start of the airport runway is 7500 feet. What s the plane's angle of depression to the start of the runway?
3. ### Trig

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 3 mi apart, to be angle x = 31° and angle y = 49°, as shown in the figure. (Round your answers to two decimal places.) Find the distance …
4. ### Math

A plane is flying at an altitude of 12,000 feet and is preparing to land at a nearby airport. The angle from the airport to the plane is 17. To the nearest tenth of a foot, how far is the airport from the plane?
5. ### trig

A plane is flying 12,000 feet horizontally from a tall, vertical cliff. The angle of elevation from the plane to the top of the cliff is 45degrees, while the angle of depression from the plane to a point on the cliff at elevation 8000 …
6. ### math

A plane is 11.9 miles off the ground as it makes its descent to land at the Metropolitan airport (46 miles away). The pilot aims the plane downward at a 12-degree angle. To the nearest mile, what distance will the plane have to travel …
7. ### trig

a plane is 50000 ft in the air and 30000 ft from an airport find the angle of depression from the plane to the airport
8. ### geometry

A plane is flying at an altitude of 12,000 m. From the pilot, the angle of depression to the airport tower is 32°. How far is the tower from a point directly beneath the plane?
9. ### math

A plane flying at 200 knots left an airport A( 30° S, 31°E) and flew due North to an airport B( 30° N 31° E) (a) Calculate the distance covered by the plane, in nautical miles (b) After a 15 minutes stop over B, the plane flew …
10. ### Trigonometry

AN AIRPLANE IS FLYING AT A HEIGHT OF 1000 m. THE ANGLE OF DEPRESSION OF AIRPORT A FROM THE PLANE IS 15°. CALCULATE THE HORIZONTAL DISTANCE BETWEEN THE AIRPLANE AND THE AIRPORT.

More Similar Questions