Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.
Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph
Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph
Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph
The ground speed of the plane is 201.3 mph (nearest tenth)
Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.
Answer:
x=8
Step-by-step explanation:
Those angles are supplementary so:
140+5x=180
5x=40
x=8
Answer:
157.5 miles with 6 gallons
Step-by-step explanation:
105miles / 4gallons = 26.25miles per gallon
26.25miles per gallon * 6miles = 157.5 miles
I need help on that to. We have a test tomorrow and I can't figure it out and I need help:(
Answer:
A=84 square yards
Step-by-step explanation:
A=1/2bh
A=1/2(7x24)
A=1/2(168)
A=84
