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How can a force be resolved into its perpendicular components?
1) Graphically. Draw an arrow for the force, and measure the vertical and horizontal components. 2) Use trigonometry. The x-component is the length of the vector times the cosine of the angle, while the y-component is the length of the vector times the sine of the angle. 3) Use the polar-to-rectangular conversion on your scientific calculator. This is the fastest method, but the details are a bit complicated (since the calculator needs to return two values), and vary from one calculator to another. Check your calculator's manual.
Find three cube roots of -8?
One cubic root is -2. The other two are complex numbers - all have the same absolute value, and they are at an angle of 120 from one another. Since -2 = 2 at an angle of 180°, the other two cube roots are 2 at an angle of 60°, and 2 at an angle of -60°. Use your calculator's polar-to-rectangular conversion to separate this into the real and imaginary components, if you want to present the answer that way.
How do you find the vector components only given the magnitude and angle?
One component = (magnitude) times (cosine of the angle).Other component = (magnitude) times (sine of the angle).In order to decide which is which, we have to know the angle with respect to what.
What angles are always equal to each other?
right angle
What is a Polygon with 2 sets of identical angles one set is smaller than a right angle. The other set of angles are larger than a right angle?
A parallelogram. More precisely, a non-rectangular parallelogram.
Will the angle always be 60 if its twice as large as its compliment?
The sum of an angle and its complement is always 90 degrees. There's only one way for one of them to be twice as large as the other one.
Which figure does a diagonal always form a angle bisector a rectangle a trapezoid a square or a quadrilateral?
A diagonal always forms an angle bisector in a square. In a rectangle, trapezoid, or any other quadrilateral, a diagonal does not always bisect the angles.
A right angle has one angle that measures 16 degrees what are the messures of the other two angles?
A right triangle will always have 1 90 degree angle and the angles of a triangle always add up to 180. Therefore, one of the other angles will be 90 and one will be 180-90-16=74.
What is the angle that a right angle triangle has?
The angle directly opposite the hypotenuse is always 90o in a right angle triangle and if you know the other sides you can work out the other angles using one of the three trigonometry equations. Sin, Tan or Cos then use the inverse and you will get the degree.
The angle of incidence is always greater than the angle of reflection?
No, the angle of reflection is always equal to the angle of incidence according to the law of reflection. When light or other waves reflect off a surface, the angle they make with the normal (perpendicular line) to the surface upon reflection is the same as the angle they made with the normal upon incidence.
What is the measure of the third angle in a triangle if the other two angle measures are 44 and 77?
59 degrees. The sum of the three angles is always 180.
Can a triangle with a obtuse angle have two acute angles?
Yes. A triangle can have only one obtuse angle. The other two angles will always be acute.
