Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
Answer:
12 have a good day
Step-by-step explanation:
Answer:
The man will take 64 seconds to reach to the south shore of the frozen pond.
Step-by-step explanation:
Given:
Weight of the man = 748 N Mass of the man,
= 
= 
kg
Radius of the pond 
= 4 m
Mass of the textbook = 1.2 kg
Velocity at which the textbook is thrown = 4 ms^1
We have to find the velocity of the man after the throw.
Let the velocity is 
.
Now using law of conservation of momentum we can find the value.
Considering 
And initial velocity of both the man and book i.e 
So,
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
ms^-1
Here the negative velocity is meant for opposite direction of the throw.
Numerically we will write, 
With this velocity the man will move towards south.
We have to calculate the time taken by the man to move to its south shore.
And we know 
Let the time taken be 
and 
and 
then, 
Then
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
sec
The man will take 64 seconds to reach to the south shore of the frozen pond (circular).
9514 1404 393
Answer:
║w║ = 6
Step-by-step explanation:
(c) The magnitude of w is computed the same way the magnitudes of the other vectors are computed. It is the root of the sum of the squares of the components.
║w║= ║<-6, 0>║ = √((-6)² +0²) = √36
║w║= 6
