# Questions tagged [angle]

An object formed by two rays joining at a common point, or a measure of rotation. In the latter form, it is commonly in degrees or radians. Please do not use this tag just because an angle is involved in the question/attempt; use it for questions where the main concern is about angles. This tag can also be used alongside (geometry).

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### What is the angle from (0,0) to (longitude, latitude)?

Starting on the crossing between the equator and the Greenwich meridian (0,0), one can proceed to any point on Earth with a given longitude and latitude along a great circle. Seen from the centre of ...
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### Calculate new point of line when changing the angle

I got 3 Points which form an angle alpha. How do i calculate the new location of Point3 when the alpha is changed? Point1 and Point2 stay staionary.
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### Geometry of angular variables

Angular variables have an interesting property in that for some applications, e.g. angle at which the light beam of a lighthouse is pointing, we expect some functions of that variable to not depend on ...
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### Compute the angle of the tangent line to space defined by a curve

I"m taking multivariable calculus and I'm being given the curve $\vec{r}(t)= e^t \textbf{i} + (cos^2t + 1) \textbf{j} + (-t^2 + t - 1) \textbf{k}$, the point $P_0 = \vec{r}(0)$ and the yz-plane. I ...
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### Find clock time, given lines of hands

I have a clock, and two hands for minutes and hours. Clock is centered somewhere around (165, -163) I have two lines, represented by two points each. To be specific: (51, -143) and (173, -158) for ...
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### How do I get the exit angle of a body?

I have a 3D environment with vectors $(x, y, z)$. For example: Room size $10 \times 10 \times 10$ Bulb in the position $(3,5,10)$ Measuring points: $(5,5,0), (1,1,0), (5, 0, 5)$, etc. A light bulb ...
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### Calculation of triangles side B if I know the angles and side a?

How do I calculate the side B of the triangle if I know the following: Side $A = 15 \rm {cm} ;\beta = 12^{\circ} ;\gamma= 90^{\circ} ;\alpha = 78^{\circ}$ Thank you.
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### Simple? 3D geometry question

I want to grind a specific front angle on a piece of metal in the horizontal plane while at the same time having a specific secondary angle in the vertical plane. If I present the workpiece at, for ...
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### Find area of circle without sector but with triangle: Do not use trigonometry

How to do this without using trigonometry please? A sheep is tethered to a post which is 6 m from a long fence. The length of rope is 9 m. Find the area which the sheep can feed on. Let the post ...
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### Rotate a curve to match a model curve

I have a given curve which could be in any direction and I have a model curve which is fixed,I have find the angle by which I have to rotate the moving curve so that it matches the fixed curve I ...
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### Find a shoot angle looking at a photograph

Is there a way to find which anlges a photograph is shoot from? Using a protractor or some other tool. At least for objects which we can say are staying at right angle. For example for an item on a ...
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### Finding length of line where angle bisector meets line

Say triangle $ABC$ has a right angle at $B$, where $AB=1$ and $BC=2$. The bisector of angle $BAC$ meets $BC$ at $D$. Find a length of $BD$. I seem to have forgot the property that would help me solve ...
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### (zooming on cluster of points in (2D)- calculate Z coord. for which α = β

I am writing a script which zooms a camera on a given object (set of points in 3D). I have to take perspective into account (the further a point on the object is from the camera, the smaller it ...
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### Calculating intersecting angles from headings on a -180 to 180 degree plot

I’m trying to program an agent to avoid barriers that it hits. I have access to the heading of the agent as it meets the barrier, which are recorded in positive and negative degrees up to 180 (as ...
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### Plot the line in the plane z=3 that makes an angle of $\pi/6$ radians with $\hat{i}$ and an angle of $\pi/3$ radians with $\hat{j}$

I'm not sure how we measure the angle between i-hat and the line and j-hat and the line. i-hat and j-hat are perpendicular to each other They are axis, x and y axis respectively. Therefore, I don't ...
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### Prove the exterior angle bisectors are equal

Imagine a triangle with angles 132,36,12 I draw the exterior angles bisectors (132 and 12) I want to prove that these bisectors are equal... Please take a look to the figure I want to prove that AM'=...
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### Calculating supplementary angles from intersecting line with direction and line with gradient

Example image where I'd be interested in finding angles a and bA simulated robotic agent is travelling in an known direction heading relative to north as it hits (at for example, 30 degrees) a ...
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### Finding closest point to a direction vector

I got an array of 3D points $(x, y, z)$ and a "Rotator" object (pitch yaw roll). Assuming the Rotator location is in $(0, 0, 0)$ I'm looking to find the closest point to the direction my Rotator ...
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### Pool billard ball route function (the angle of reflection is equal to the angle of incidence)

Recently I have found an exercise for algorithmics students, in which I have to implement algorithm, which will calculate the ball route after hit and return specific destination pocket or word "None" ...