SOLUTION: The pilot of an airplane flies at a constant speed of 200 km/h at a bearing of S 40° E. There is a 42 km/h crosswind blowing E 20° N. What are the plane’s actual speed and directio
Algebra.Com
Question 290412: The pilot of an airplane flies at a constant speed of 200 km/h at a bearing of S 40° E. There is a 42 km/h crosswind blowing E 20° N. What are the plane’s actual speed and direction? Please show all appropriate steps and diagrams. Watch out for the quadrant you are in so you have the right signs.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The pilot of an airplane flies at a constant speed of 200 km/h at a bearing of S 40° E.
There is a 42 km/h crosswind blowing E 20° N.
What are the plane’s actual speed and direction? Please show all appropriate steps and diagrams.
------------------------
Plane DATA:
x vector = 200*cos(270+40) = 128.56
y vector = 200*sin(270+40) = -153.21
------------------------------------
Wind DATA:
x vector = 42*cos(20) = 39.47
y vector = 42*sin(20) = 14.37
--------------------------------------
Conbining corresonding vectors:
x vector 128.56+39.47 = 168.03
y vector -153.21+14.37 = -138.84
------
distance = sqrt(168.03^2 + 138.84^2) = 217.97 km
angle = arctan(-138.84/168.03) = -39.57 degrees
====================================================
Cheers,
Stan H.
RELATED QUESTIONS
Plane flies at a constant speed of 600 miles / hour at a bearing of N 55 E. There is a 50 (answered by Alan3354)
an 80 km/h airplane caught in a 60 km/h crosswind has a result speed of
a.60 km/h... (answered by Fombitz)
An airplane travels at a constant speed of 800 kilometers per hour (km/h)
Approximately (answered by Alan3354)
An airplane flies on a course of 130* at a speed of 1100 km/h. How far east of it... (answered by RAY100)
a driver travels the first 120 km of a 200-km journey at an average speed of 40 km/h. he... (answered by josgarithmetic)
Emily travels in an airplane a distance of 2880 km. For one-third of the distance, the... (answered by ikleyn)
An airplane flies at a rate of 356 km/h. If the plane travels a total distance of 1424... (answered by funmath)
An airplane flies at a rate of 356 km/h . If the plane travels a total distance of 1424 (answered by nerdybill)
An airplane flies at a rate of 356 km/h. If the plane travels a total distance of 1424... (answered by Mr.Gardner)