Math C30

posted by .

An airplane is leaving the first airport (A) at a bearing of 70 degrees. It then travels 238 miles to airport B. After fueling up, it leaves at a bearing of 120 degrees and lands at airport C. After fueling up it finally returns to airport (A) at a bearing of 260 degrees. What is the total miles of the complete trip?
Put your answer to 1 decimal place into answerblank 1 (no spaces)

• Math C30 -

change "bearing" to "heading" throughout.

Draw a diagram. Angle CAB = 60°, ABC = 90° and BCA = 30°

so, you have a 30-60-90 triangle, with the long leg=238.

short leg = 238/√3 = 137
and hypotenuse twice that or 274

so, the whole trip is 238+137+274=649 miles

Respond to this Question

 First Name School Subject Your Answer

Similar Questions

1. Algebra II

An airplane leaves airport A and flies 200 km. At this time its bearing from Airport B, 250 km to the west, is 120 degrees. How far is the airplane from B?
2. Algebra II

An airplane leaves airport A and flies 200 km. At this time its bearing from Airport B, 250 km to the west, is 120 degrees. How far is the airplane from B?
3. Pre-Calculus

A jet leaves an airport on a bearing of N 77* W and travels for 243 mi. It then turns and continues on a bearing of S 13* W for 104 mi. Find how far the jet is from the airport to 3 decimal places.
4. Trigonometry

Round answer to two significant digits. An airplane flew 300 miles at a bearing of N65°E from airport A to airport B. The plane then flew at a bearing of S38°E to airport C. Find the distance from A to C if the bearing from airport …
5. Trigonometry

An airplane flew 300 miles at a bearing of N65°E from airport A to airport B. The plane then flew at a bearing of S38°E to airport C. Find the distance from A to C if the bearing from airport A to airport C is S60°E.
6. math

an airplane leaves an airport and travels 100 miles in a direction of 300 degrees. How far North of the airport is the plane then?
7. Ave maria catholic secondary school

an aeroplane leaves an airport,flies due north for two hours at 500km/hr.it then flies 450km on a bearing 053.how far is the plane from the airport and what is its bearing from bearing from east
8. Trigonometry

A plane leaves airport A and travels 560 miles to airport B at a bearing of N32E. The plane leaves airport B and travels to airport C 320 miles away at a bearing of S72E. Find the distance from airport A to airport C.
9. value

an aeroplane leaves an airport A an flies on a bearing of N41E for 1 and half hour at 699km/h to airport B.it then flies on a bearing of S50E for 3 and half hours at 400km/h to an airport C.calculate the distance from C to A
10. Trigonometry

An airplane is 48 miles due north of a town. An airport is 29 miles North-West of the town. It is determined that the airplane is 34 miles from the airport. On what bearing should the pilot fly to get to the airport?

More Similar Questions