SOLUTION: A plane is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph.
What is ground speed of the plane?
What is the smallest angle in the triangle?
What is the bigges
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Question 453881: A plane is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph.
What is ground speed of the plane?
What is the smallest angle in the triangle?
What is the biggest angle in the triangle?
What is the remaining angle in the triangle?
What is the bearing of the plane?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A plane is flying 240 mph heading N60°E.
The wind is blowing S30°E at 30 mph.
-------------------
Plane components:
xp = 240cos(60)
yp = 240sin(60)
-----
Wind components:
xw = 30cos(30)
yw = 30sin(30)
-----
What is ground speed of the plane?
Actual plane position after one hour in the air:
(240cos(6)+30cos(30);240sin(60)+30sin(3)) = (145.98,222.85)
Ground speed = sqrt[145.98^2+222.85^2] = 266.40 mph
===============================================================
What is the smallest angle in the triangle?
What is the biggest angle in the triangle?
What is the remaining angle in the triangle?
---
Question: Which triangle? the given condition triangle
or the resultant triangle?
===========================
What is the bearing of the plane?
tan^-1[222.85/145.98] = 56.77 degrees
=========================================
Cheers,
Stan H.
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