Comments on: An airplane whose air speed is 620 km/h is supposed to fly in a straight path 35.0 degree? http://diy-solarpanels.net/air-x-wind/an-airplane-whose-air-speed-is-620-kmh-is-supposed-to-fly-in-a-straight-path-35-0-degree Build your own solar panels for less then $200! Fri, 18 May 2012 11:27:59 +0000 hourly 1 http://wordpress.org/?v=3.2.1 By: Vince http://diy-solarpanels.net/air-x-wind/an-airplane-whose-air-speed-is-620-kmh-is-supposed-to-fly-in-a-straight-path-35-0-degree/comment-page-1#comment-1641 Vince Sun, 14 Mar 2010 06:13:59 +0000 http://diy-solarpanels.net/air-x-wind/an-airplane-whose-air-speed-is-620-kmh-is-supposed-to-fly-in-a-straight-path-35-0-degree#comment-1641 You've assumed that the plane will be traveling at a speed of 620 Km/h in the direction 35NE.. This can't be right because of the wind. that speed is one of the unknowns. however the airspeed in the unknown direction "theta" will be 620 Km/H. airplane airspeed y1 = 620 cos(theta) x1 = 620 sin(theta) Note that I used cosine for Y1 since due north ---> i.e. 0 deg ===> Y1 = 620 cos(0) = 620. wind x2 = 0 y2 = -95. blowing toward the south. resultant Vt = v1+v2 must be at 35NE Xt = 620 sin(theta) Yt = 620 cos(theta) - 95 tan35 = opposite/adjacent = Xt/Yt Note that I used Xt/Yt since tan(0) is due north when Xt = 0. Xt = Yt. tan35 Solve for theta. 620 sin(theta) = (620 cos(theta) - 95) . tan35<br><b>References : </b><br>http://en.wikipedia.org/wiki/Boxing_the_compass You’ve assumed that the plane will be traveling at a speed of 620 Km/h
in the direction 35NE.. This can’t be right because of the wind.
that speed is one of the unknowns.

however the airspeed in the unknown direction "theta" will be 620 Km/H.

airplane airspeed
y1 = 620 cos(theta)
x1 = 620 sin(theta)

Note that I used cosine for Y1
since due north —> i.e. 0 deg ===> Y1 = 620 cos(0) = 620.

wind
x2 = 0
y2 = -95. blowing toward the south.

resultant Vt = v1+v2 must be at 35NE

Xt = 620 sin(theta)
Yt = 620 cos(theta) – 95

tan35 = opposite/adjacent = Xt/Yt
Note that I used Xt/Yt since tan(0) is due north when Xt = 0.

Xt = Yt. tan35

Solve for theta.
620 sin(theta) = (620 cos(theta) – 95) . tan35
References :
http://en.wikipedia.org/wiki/Boxing_the_compass

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