Question
A vector in the xy plane has a magnitude of 25 and an x component of 12. The angle it makes with the positive x axis is:
A vector in the xy plane has a magnitude of 25 and an x component of 12. The angle it makes with the
positive x axis is:
Answers
What are best answers and total votes?
No Votes
Vote
SignIn to Vote
Koala Tutor
Koala Ai Support
Got a question with my answer?
tan θ = y/x
tan θ = y/12
Since the magnitude of the vector is 25, we can use Pythagorean theorem to find the y component:
25^2 = 12^2 + y^2
625 = 144 + y^2
y^2 = 481
y = √481
Now substitute y back into the tan θ equation:
tan θ = √481 / 12
θ ≈ 76.69 degrees
So, the angle the vector makes with the positive x axis is approximately 76.69 degrees.
Got a question with my answer?
Message Me
Related Questions
Physics : vector
A ball is thrown with an initial velocit
Determine the type and magnitude of elec
Briefly explain where a battery gets its
An alternator drives current through the
An alternator drives current through the
What force is slowing the magnet’s fal
If the strength of the electric field is
If the amount of charge on the particle
The atoms move in a circular path becaus