SOLUTION: A plane is flying 215 miles per hour toward the Southeast (Theta Angle is 315 degrees). A wind suddenly blows at 75 miles per hour from the North to the South (Theta Angle is 270
Algebra ->
Angles
-> SOLUTION: A plane is flying 215 miles per hour toward the Southeast (Theta Angle is 315 degrees). A wind suddenly blows at 75 miles per hour from the North to the South (Theta Angle is 270
Log On
Question 1022497: A plane is flying 215 miles per hour toward the Southeast (Theta Angle is 315 degrees). A wind suddenly blows at 75 miles per hour from the North to the South (Theta Angle is 270 degrees). Remember you will have to find the X-components & Y-components of the plane and wind.
New velocity of plane
Angle Alpha is
Angle Theta is
You can put this solution on YOUR website! A plane is flying 215 miles per hour toward the Southeast (Theta Angle is 315 degrees). A wind suddenly blows at 75 miles per hour from the North to the South (Theta Angle is 270 degrees). Remember you will have to find the X-components & Y-components of the plane and wind.
New velocity of plane
Angle Alpha is
Angle Theta is
========================
In aviation (and other navigation) North is 0/360 degs, and angles are measured clockwise.
----
The plane's heading is 135 degs.
The wind is 360 @ 75.
---
Draw a triangle with a leg of length 215 (the speed) at 135 degs.
From the lower right end, draw a vertical line of length 75 (windspeed).
The angle between the 2 legs is 135 degs.
Use the Cosine Law to find the 3rd side (the resultant ground speed).
c =~ 273.23 mi/hr (the groundspeed)
----------------------
Call the angle between the plane's heading and its ground track A:
Use the Sine Law:
sin(A)/75 = sin(135)/273.23
sin(A) =~ 0.194
A = 11.19 degs
--> ground track = 146.19 degs
----------
Angle on the x-y plane = 303.8 degs
The ground track = 135 + angle A
===================
It's not clear what angles alpha and theta are located.
--------------------
PS Pilots don't do trig, they use computers of various types to do it for them.
