SOLUTION: An airplane is traveling at 375mph on a heading of 160 degrees as measured clockwise from due north. If the wind is blowing 45mph in the direction 25 degrees as measured clockwise

Question 818703: An airplane is traveling at 375mph on a heading of 160 degrees as measured clockwise from due north. If the wind is blowing 45mph in the direction 25 degrees as measured clockwise from due north, what is the actual speed and course of the airplane?
I think to do this problem, a parallelogram needs to be drawn. Then the diagonal, which would be R needs to be solved to figure out how fast it is going. Then I think the Law of sins would be used to solve for the course angle of the plane. However, every time I attempt to do this problem, I get the wrong answer. The provided answers say that the plane is going 345mph on a course of 155 degrees. If you could help me solve this problem, it would be much appreciated as I continue to prepare for my finals. Thanks!
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
This answer shows in great detail how to solve these kinds of problems:
---
http://www.algebra.com/algebra/homework/Trigonometry-basics/Trigonometry-basics.faq.question.814549.html
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
An airplane can cruise at 255 mph in still air. If a steady wind of 46 mph is blowing... (answered by ikleyn)

[ An airplane, which has airspeed of 575 km/hr, heads directly east. The wind is blowing... (answered by TimothyLamb)

An airplane flies 120 kilometers from an airport in a direction of 210 degrees. How far... (answered by stanbon,ankor@dixie-net.com)

An airplane flying due North at 220 kph is blown by a 100 kph strong wind due 50 degrees... (answered by lwsshak3)

An airplane is heading due north at 260 mph. a 16 mph window blows from the east. what is (answered by ankor@dixie-net.com)

an airplane is heading 35 degrees counter-clockwise and it turns towards 102 degrees... (answered by stanbon)

An airplane leaves Fargo at a heading of 70 degrees and an air speed of 280 mph. If the... (answered by stanbon)

Find the component form of the vector that represents the velocity of a ship traveling at (answered by Alan3354)

An airplane is flying at 340 mph with a heading of 210 degrees. If a 50 mph wind is... (answered by Fombitz)