# Trig

posted by Meranda

An airplane flies 180 miles from point A in the direction 120 degrees and then travels 210 degrees for 80 miles. Approximately how far is the airplane from point A?

I know that I will need to use the law of cosine. distance^2= a^2+b^2-2abcos?
I am not sure how to find the angle
An explanation of how to draw the triangle would be great!

1. scott

you could resolve the two legs into north-south and east-west components, and add them

2. Meranda

Like an x and y-axis?

3. Meranda

Would the angle between the two sides be 150 degrees? If not, then I need more explanation.

4. Henry

Disp. = 180mi[120o] + 80mi[210o].

X = 180*sin120 + 80*sin210 = 115.9 Mi.
Y = 180*Cos120 + 80*Cos210 = -159.3 Mi.

Disp. = Sqrt(X^2+Y^2).

5. Meranda

We haven't learned about dispositions yet so I don't think that's how I am supposed to solve it

6. Meranda

Anybody else that can help me with this?

7. Henry

Disp. = Displacement which is the straight line distance from the starting point (A) to the
destination. I used vector analysis and trig to solve it. The only remaining method is
The Law of Sine and Cosines.

## Similar Questions

1. ### math

two airplanes left the same airport traveling in opposite direction. if one airplane averages 400 miles per hour and the other airplane averages 250 miles per hour, in how many hours will the distance between the two planes be 1625 …
2. ### Calculus

An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 miles per hour. Find the rate at which the angle of elevation tetra is changing when the angle is 30 degrees
3. ### Trig.

An airplane flying at 600 miles per hour has a bearing of 52 degrees. After flying for 1.5 hours, how far north and how far east will the plane have traveled from point of departure?
4. ### Pre Cal

An airplane leaves an airport and flies due west 150 miles and then 230 miles in the direction S 39.67 degrees W. How far is the plane from the airport at this time to the nearest mile.
5. ### Airplane trig question

An airplane, flying at a speed of 420 miles per hour, flies from point A in the direction 131 degrees for 90 min. and then flies in the direction 41 degrees for 30 min. in what direction does the plane need to fly in order to get back …
6. ### Math/Trig

An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction 210°50'. Assuming the Earth is flat, how far is the plane from the airport at this time (to the nearest mile)
7. ### trig

an airplane has an airspeed of 430 miles per hour at a bearing of 135 degrees. the wind velocity is 35 miles per hour in the direction N30degreesE. Find the resultant speed and direction of the plane.
8. ### Pre cal

1. An airplane flies 200 km on course 110 degrees from point A to point B. At point B the pilot changes course to 37 degrees. The plane then flies 100 km to point C. Find the magnitude of the net displacement from A to C. 2. A plane …
9. ### Precalculus

An airplane flies 180 miles from point A in the direction 135° and then travels in the direction 240° for 90 miles. Approximately how far is the airplane from A?
10. ### Algebra

An airplane flies 165 miles from point A in the direction 130 degrees and then travels in the direction 245 degrees for 80 miles. Approximately how far is the airplane from A?

More Similar Questions