Homework Help: Math C30

Posted by Jill on Thursday, June 7, 2012 at 11:29pm.

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 - Steve, Friday, June 8, 2012 at 5:39am
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

Answer this Question

Related Questions

Algebra II - An airplane leaves airport A and flies 200 km. At this time its ...
Algebra II - An airplane leaves airport A and flies 200 km. At this time its ...
calculus - An airplane is flying on a bearing of 80 degrees at 540mph. A wind is...
Find Airplane Bearing - A plane leave a certain airport from runway 4 RIGHT, ...
calculus - An airplane is flying at 550 km/h on a heading of 080 degrees. The ...
Pre-Calculus - A jet leaves an airport on a bearing of N 77* W and travels for ...
Trig - An airplane is flying on a compass heading (bearing) of 340 degrees at ...
Math - Two airplanes at 25,000 ft above the ground are flying toward the same ...
Precalculus - Pilot Reem Ahmad's flight plan has her leaving Dulles ...
Math - At an airport, a flight controller is in a tower 45m above the ground. ...

For Further Reading

First Name:
School Subject:
Answer: