SOLUTION: A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10� to the rightof his original course, flying 2 h in the new direction. If he maintains a c

Question 141855: A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10� to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A pilot flies in a straight path for 1 h 30 min. He then makes a course change, heading 10� to the rightof his original course, flying 2 h in the new direction. If he maintains a constant speed of 625 mi/h,then how far is he from his starting position?
---------
1st leg = 1.5*625 = 937.5 mi
2nd leg = 2*625 = 1300
included angle = 170 degrees
--------------------------------
Use the law of cosines:
The side opposite the 170 degree angle is the distance you want.
a^2 = b^2 + c^2 -2bc Cos(A)
a^2 = 937.5^2 + 1300^2 -2*937.5*1300Cos(170)
Solve for "a".
I'll leave that to you.
Cheers,
Stan H.
RELATED QUESTIONS
A pilot flies in a straight path for 1 hour and 30 min. She then makes a course... (answered by Alan3354)

A car travels along a straight road, heading east for 1 h, then traveling for 30 min on... (answered by jsmallt9)

A car travels along a straight road, heading east for 1 h, then traveling for 30 min on... (answered by lwsshak3)

a pilot flies 150mph in still air. He flies with the wind 4 hours to Albuquerque and then (answered by josgarithmetic)

An airplane departs from point A with a destination of point B, which is 200 miles... (answered by checkley79)

A type of aquatic bird known as a cormorant is flying over open water and accidentally... (answered by ikleyn,Boreal)

A pilot mistakenly flies North 40 degrees West for 100 miles. Realizing his mistake, he... (answered by Theo)

A pilot flies 300km [E] and then 300km [W] at airspeed of 300km/h. A 30km/h wind is... (answered by oberobic)

A pilot flies a distance of 600 km. He could fly the same distance in 30 minutes less... (answered by Alan3354)