Angle of wind from west = 45°
x-component of wind:
Wx = 30cos(45)
= 21.1 m/s
The x component of the plane's speed should cancel this while the y component should remain 100 m/s
Py = Psin(∅)
100 = Psin(∅)
P = 100/sin(∅)
Px = Pcos(∅)
P = 21.1/cos(∅)
100/sin(∅) = 21.1/cos(∅)
tan(∅) = 100/21.1
∅ = 78.1° north from the west direction.
No it is not necessary that Kelvin will get one head and one tail every time
<u>Explanation:</u>
Probability in math is equal to favorable outcomes/total outcomes
The coin has two sides a head and a tail. When we flip a coin we have 50-50 possibility of getting a head and a tail. It means with every toss we have 1/2 possibility of getting head as well as tail.
But this does not mean that when we toss a coin twice we will get one head at one toss and one tail at another toss.
There is a possibility of getting both heads as well as both the tails.
1 1/4 = 1 9/36 = 45/36
4/9=16/36
45/36-16/36=29/36
I hope this helped!!!:)
I accidentally went too far, but I still solved your question... the answer is 9x^2 - 6x