Angles Definition and 892 Threads

Need some help with this one. Please be detailed and methodic in your understandable explanations because I find this very difficult. http://a.imagehost.org/0288/n_5.jpg

Homework Statement Path A is 6.0 km long heading 60.0° north of east. Path B is 6.0 km long in a direction due east. Path C is 3.0 km long heading 315° counterclockwise from east. (a) Graphically add the hiker's displacements in the order A, B, C. Magnitude of displacement: _________...

Homework Statement Imagine you're given a rectangle, with lengths LX and LY. Now we place a point somewhere inside this rectangle, we don't know where it is. What we DO know, is the angle between lines from the corners to that point. (such that if it was at the center, and the point a square...

Homework Statement A boy is standing on the peak of a hill (downhill), and throws a rock, at what angle from himself to the horizontal should he throw the rock in order for it to travel the greatest distance. Answer clues: 1. if, the angle from the slope to the horizontal = 60, then the...

Homework Statement A hot-air balloon is floating above a straight road. To estimate their height above the ground, the balloonists simultaneously measure the angle of depression to two consecutive mileposts on the road on the same side of the balloon. The angles of depression are found to be...

Homework Statement An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope . The rope will break if the tension in it exceeds 2.80×10^4 N, and our hero's mass is 91.0 kg...

Homework Statement A child runs down a 11 degree hill and then suddenly jumps upward at a 16degree angle above the horizontal and lands 1.2 m down the hill as measured along the hill What was the child's initial speed? Homework Equations Projectile motion x = Vx*t y = yo + Vyo*t -...

Homework Statement I have a sphere on top of another larger fixed sphere. The sphere on top rolls on the fixed one without sliding. The moving sphere is rolling and therefore has an angular velocity, it also moves giving it an angular velocity around the center of the fixed sphere. To calculate...

Case 1 In 2D coordinate system the sum of the angles of all quadrants=360 degree in (x,y) plane Case 2 In 3D coordinate system (x,y,z) I took 3 possible planes i.e. (x,y) (y,z) (x,z) each plane provides angle of 360 degree, so can we say that in 3D coordinate system sum of all...

Homework Statement Approximate, to the nearest 0.01 radian, all angles \theta in the interval [0,2pi) that satisfy the equation. sin \theta= -0.0135 Homework Equations Inverse sin, reference angle formulas The Attempt at a Solution The inverse sin is -.01, so the...

Is it possible for the critical angle to exist when light goes from water (n=1.33) into glass (n=1.5)? I solved this using snell's law. and my answer is no.. because glass has greater refraction index than water. And when you use snell's law and solve for the critical angle, there will be no...

Homework Statement 300 lb force is to be resolved into components along a-a(prime) and b-b(prime). a.) Determine the angle by trigonometry knowing that the compnent along line a-a(prime) is to be 240 lb. b.) What is the corresponding value of the component b-b(prime) in the picture...

I'm comparing TV and monitor sizes, and I'm trying to figure out the formula that will let me find what size screen will have the same area as another screen (with different aspect ratios). This boils down to a right triangle with all the angles and the area known. Normally I'd find this on...

Homework Statement A vector is given by R(vector) = 1.90 ihat + 1.30 jhat + 2.92 khat. Find the magnitude of the vector Find the angle between the vector and the x, y, and z axis Homework Equations I have read something about dot product but I am not sure if it applies here The Attempt...

Is there any topology where it is possible to trisect an angle using only straight lines and circles?

Hello, I have a laser beam that passes through two 3 degree angled wedges, resulting in the ability to project the laser anywhere within a 6cm radius circle (each wedge alone produces a 3cm radius circle). I need to be able to tell each wedge how much to rotate in order to get the laser from...

Hi, Suppose you have three vectors a, b and c. Say the angle between a and c is given by \alpha, and between b and c by \beta. Can we find a relationship between \alpha and \beta? Thanks in advance,

Hi everyone, this is my first post on this forum, if in wrong place please fogive. I am currently studying physics looking at the topic of projectiles, working out the maths is not a problem, but in class is not like having real experience out in the world around us, so my question is...

Homework Statement An object has a weight of 20N. It is supported by three strings to keep it in equilibrium, all attached to a smooth ring on the object. String A has a tension of 15N to the right of the block. String B is (a)degrees away from string A and String C is 90degrees away from...

Homework Statement Prove that sin(45+x).sin(45-x) = \frac{1}{2}cos2x Homework Equations double angle formulae reduction formulae special angles identities The Attempt at a Solution (sin45.cosx+cos45.sinx)(sin45.cosx-cos45.sinx) =(sin45.cosx-cos45.sinx)2...

Homework Statement A ranger in tower A spots a fire at a direction of 321 degrees. A ranger in tower B, located 60 mi at a direction of 47 degrees from tower A, spots the fire at a direction of 279 degrees. How far from tower A is the fire? How far from tower B? Homework Equations...

Hi, Is there a way of calulating the angles from the slope or coordinates of a graph. Say you have a bunch of x and y coordinates and you want to find the angles between those points at various coordinates (say every x,y ratio) can it be done? How would you go about it?

Hello, I am trying to extract the 3 angles from a unit vector to position a part on a 5 axis milling machine: This machine has 3 linear axes (x,y,z), direct coordinate system It has 2 rotary axes: A turns about the x (called 'tilt') C is carried on the A axis (called 'rotary') See...

Homework Statement I have done all the physics for this problem which I'll detail below. I am only having trouble in doing the simple math to single out the t1 or t2. A mass is hanging from a ceiling. It is supported by two strings which both are attached above to the ceiling. String 1 is...

Homework Statement A parallellogram ABCD has an interior point O sucht that \alpha + \beta = 180^o http://img413.imageshack.us/img413/5636/post102741235319763.png Prove that: \angle{OBC}=\angle{CDO} Homework Equations Definitions of a parallellogram. The Attempt...

Homework Statement Ok, Let's see, this problem consists of two (2) cars with a cable of unknown tension between them. The first car has a weight of 2100Kg and is at an angle of 10 degrees from the normal. The second car weighs 1360Kg and is at an angle of 26 degrees from the normal...

Hello everyone, Thank you in advance for your help! --- Homework Statement 10. A vector \vec{u} with direction angles A1, B1, and Y1, is perpendicular to a vector \vec{v} with direction angles A2, B2, and Y2. Prove that: \cos A1 \cos B2 + \cos B1 \cos B2 + \cos Y1 \cos Y2 = 0. ---...

Homework Statement In a rescue, the 72.0 police officer is suspended by two cables, as shown in the figure below. Homework Equations T = mgsin(48)? T2 = mgsin(35)? The Attempt at a Solution I used the above equations and it is not right. Me and my friend have been working on...

Homework Statement A 60 kg crate is being steadily dragged along the floor by a rope, which makes an angle of 70 degress with the horizontal. If the tension in the rope is 20N: What is the force of friction? What is the coefficient of friction? Homework Equations ffr=Ufn ffr=Umgcos0...

Homework Statement Show that the parabolas r=c/(1+cosθ)and r'=d/(1-cosθ) intersect at right angles. The Attempt at a Solution I found the points of intersection by setting the two equations equal, to which I got: cosθ = (c- d)/(c+d) θ = cos^-1[(c- d)/(c+d)] then i tried to find the...

Homework Statement Two forces P and Q with respective magnitudes 100N and 200N are applied to the upper corner of a crate. The sum of the two forces is to the right (+x direction) with a magnitude of 250N. Find the angles that P and Q make with their sum - that is, with the horizontal line...

Homework Statement A triangle had area of 21 cm² and two of its sides are 9 cm and 14cm long. Find the possible measures of the angle formed by these sides? Homework Equations Area= 1/2abSin(C) The Attempt at a Solution 1/2 (9)(14)Sin C = 21 --> Sin C = (1/3) approx 19.5...

Can the sum of angles of a planar triangle be greater than 180?? hii i read somewhere that the sum of the angles of a triangle is always a little bit greater than or lesser than 180 degrees? how true is that? thank you

Greetings everyone! Thanks in advance for the help! Homework Statement Two parts to the problem. For both parts it asks for the magnitude of the net force and the direction of angle from the X axis. Part A: Two forces, F1 and F2, act on an object at rest at a 90* angle. F1 = 30N, F2 = 11N...

Homework Statement How do you eliminate this? V3(cos A) + V4(cos 30) = 5 Equation 1 V3(sin A) = -(V4)(sin 30) Equation 2 V3^2 + V4^2 = 25 Equation 3 Homework Equations The Attempt at a Solution I let x= V3 ; y=V4...

Homework Statement a) If Vx = 18.00 units and Vy = -15.50 units, determine the magnitude of V. b) Determine the angle of V with respect to the x-axis. Homework Equations The Attempt at a Solution Yeah, Part B is pretty much the only one I don't get . a) Answer is 23.75 b)...

[RESOLVED] Speed in relation to angles Homework Statement You leave a ball roll down 3 different inclined plans with the same height. They each have 30, 45 & 60 degrees of incline respectively. Compare the sped of each of these plans Height = constant, doesn't change Angles of plans =...

Homework Statement Gravity pulls the sign with 490N. Determine the tension in the cables. Shown as in this picture: http://img380.imageshack.us/img380/9891/forcesinequilibriumpf0.jpg Homework Equations I am not sure. The Attempt at a Solution I do not fully understand what I...

1. A ball of mass 0.40kg is moving to the left at a velocity v0=-20 m/s. It is kicked and given a velocity, at 45 degrees upwards to the right, of vf30[/sub] m/s. 1) Find the impulse of the force 2) Find the average force The collision time is 0.010s 2. I = (delta) P I = F...

Homework Statement I'm awful with vectors. I know the dot product rule and the uses to find perpendicular vectors and angles. I know about multiplying vectors (a1b1 + a2b2 + a3b3). I know vector arithmetic. But i can't do: r = 8i + 12j + 14k + t(i + j - k) where t is a parameter...

1. What is the resultant vector, and it's angle when the forces move 0.45Newtons North, then 0.85 Newtons East. Where does the resultant angle go, and what would the direction be? 2. I used the Pythagorean Theorom to find the length of the resultant vector. The length of my...

Homework Statement the measure of an interior angle of a regular polygon is given. need to find the number of sides in the polygon. i cannot find the formula to be able to do this. Homework Equations The Attempt at a Solution

I have read the sine rule: It states--> sin A/a=sin B/b=sin C/c = 1/2R where R is circumradius. Now, a=2Rsin A b=2Rsin B c=2Rsin C For a triangle R is fixed. In an obtuse angled triangle, the side opposite largest angle is the longest(geomtrically) But the sine of an obtuse angle...

Homework Statement A spring-loaded gun can fire a projectile to a height h if it is fired straight up. If the same gun is pointed at an angle of 45 degrees from the vertical, what maximum height can now be reached by the projectile. 1. h _ 2. h / 2\/2 3. h / 2 _ 4. h / \/2 5. h...

Homework Statement Given a=2i+3j+k, b=i+2j+k, c=-i-j+k, calculate; a)unit vectors b^ and c^ in the directions of b and c respectively. b)the angle between a and c Homework Equations n/a The Attempt at a Solution I don't understand a) at all, but b is just a simple dot product...

URGENT please: Find the angles, magnification, total length of the roometc. of paint- Homework Statement The well known 17th Century Dutch painter Johannes Vermeer only painted 30 paintings during his life. However, they were created with incredible, almost photographic-like detail. The use...

Hello, for a school project we are constructing a robot to pick up defined size cubes but the sucker that pulls up the cubes off the ground is made of rubber gears that spin and suck them up. It works pretty good, but only when the robot is perfectly lined up on the cube, and I am wondering what...

Dear All, My question goes as follows: If we want equally distributed N-angles in a plane, then the angle between any two lines will be 360/N. e.g 5-equal angles will be calculated to 72-degs each. Now if the same five lines (centred at one point) have to be equally spread in...

Homework Statement A certain kind of glass has an index of refraction of 1.640 for blue light of wavelength 440 nm and an index of 1.605 for red light of wavelength 670 nm. If a beam containing these two colors is incident at an angle of 30.0° on a piece of this glass, what is the angle...