Bear Wind
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Bears Wind Up Music Box Wooden Magnetic Dancing Orange $15.71 |
A pilot wants to fly on a bearing of 613 degrees By flying due east he finds that a 55mph wind blowing from th?
A pilot wants to fly on a bearing of 613 degrees By flying due east he finds that a 55mph wind blowing from the south puts him on course. Find the ground speed of the plane
613 degrees? I seriously doubt it is 613 degrees.
61.3 degrees sounds sensible based on the rest of the question (him flying east and a wind blowing north putting him on course)
So I will assume you meant 61.3
This is what it looks like:
http://www.paulmudhar.com/wp-content/uploads/2007/03/triangle-soh-cah-toa.png
The bearing shows the angle from north to the line (c), you want to see the angle inside the triangle so that will be 90-[bearing].
a=55 (55mph wind blowing north)
A= 90-61.3
A= 28.7 degrees
Ground speed is the speed the plane is going including the wind.
ground speed = c
Airspeed = b
You have the angle, and you have the “Opposite” and want to find the “Hypotenuse”.
SOHCAHTOA
Sin x = Opp/Hypot
Sin(28.7) = 55/c
c = 55/Sin(28.7)
c = 114.53
Ground speed of the plane is 114.53 mph
Airspeed = b
Tan x = Opp/Adj
Tan (28.7) = 55/b
b = 55/Tan(28.7)
b = 100.46
Airspeed = 100.46mph
(so the answer is ground speed of 114.53mph)
