Ariana wants to buy a house in a few years. She spends $100 a month on takeout coffee. She spends $200 a month on fast food. Wha
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The plane will end up flying 5.02°.
The plan's speed relative to the ground will be 645.91 km/hr.
Solution:
Use the cosine formula,
Substitute the given values in the formula,
Taking square root on both sides, we get
R = 645.91 km/hr
This is the grouped speed of the aircraft.
To find θ use sine rule.
Do cross multiplication, we get
sin θ = 0.0875
θ = 5.02°
This is known as the drift angle and is the correction the pilot should apply to remain on course.
The heading is the direction the aircraft's nose is pointing which is
The track is the actual direction over the ground which is θ = 5.02°
An alternative method to this would be to separate each vector into vertical and horizontal components and add.
The resultant can be found using Pythagoras.
Surface area is:
replacing the values
dived each member by 2
The volume of a rectangular prism is
replacing the values
dived each member by 2
The volume of a rectangular prism is
So hmmm notice the picture below
recall the "inscribed angle" theorem, an angle inscribed is half the intercepted arc
now, the line BA goes through the center, and to each end, thus is a diameter, the point of tangency, where a tangent hits the diameter or radius of a circle, is always a right-angle
recall the "inscribed angle" theorem, an angle inscribed is half the intercepted arc
now, the line BA goes through the center, and to each end, thus is a diameter, the point of tangency, where a tangent hits the diameter or radius of a circle, is always a right-angle