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).

827 questions
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Why must the coordinates of a point on a circle be sinusoidal as a function of the angle? [on hold]

A defining feature of radians as a unit of measurement is that if an angle $\theta$ is expressed in radians, the height of a point on the unit circle at this angle is $\sin(\theta)$. Is it possible ...
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Right Circular Cylinder: Distance between axis and plan

B is a point in the top circle of a right circular cylinder. C is a point in the bottom circle of the given cylinder. The angle between [BC] and the base's plan of the cylinder is 45 degrees. The ...
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Absolute Value of Vector with only 2 values and one Angle?

How do I calculate the absolute Value of a Vector when I only know the Values of two Vectors and the angle between them? The Vector I wanna find is the resulting Vector after you add the other 2. ...
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Is it given that two lines are parallel if a right angle is shown?

If I have a diagram, like the following: And I want to make make a proof for something like how segment AB is $\cong$ to segment AC if segment BD $\cong$ segment DC (using Perpendicular Bisector ...
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finding third point, provided two points , an angle and the length from one of two given points

I have gone through many of the answers and I have not a suitable one so I am asking this question As provide in the reference image I have been provide two points A(x, y) and B(x,Y), an angle Θ ...
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I'm working on a problem. The problem is boxed in Blue. Ignore the right side boxed in green, it's unreleated. Inside the blue box, I have highlighted in green where my error is when solving this ...
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Scale cosine similarity between vectors to range 0, 1?

I am interested in calculating similarity between vectors, however this similarity has to be a number between 0 and 1. There are many questions concerning tf-idf and cosine similarity, all indicating ...
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If a right circular cone has three mutually perpendicular generators then find its semi-vertical angle.

If a right circular cone has three mutually perpendicular generators then find its semi-vertical angle. We see that if $ax^2+by^2+cz^2+2fyx+2gzx+2hxy=0$ has three mutually perpendicular generators, ...
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rotate plane according to pitch,yaw and roll

Lets say, i have ground-plane equation = $ax + by + cz + d$ . Then, i rotate camera and i know new yaw ( $\theta$ ), pitch ( $\alpha$) and roll( $\gamma$) angle of camera. How can i calculate new ...
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Phase angle of a Fourier series

I have read in my textbook that if a Fourier series consists of only sine terms(that is, the function is odd), its phase angle is 0. If the Fourier series consists of only cosine terms(that is, the ...
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How do i calculate the angle $\theta_L$?

I need to find the angle $\theta_L$ in the attached sketch. The variables I know are: $R_L$, $R_G$, and $\theta_G$. So i need a formula for $\theta_L$ in terms of these. $R_g$ is also the distance ...
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What is the length of the arc on the unit circle subtended by an angle of 120 degrees? Show all work.

What is the length of the arc on the unit circle subtended by an angle of 120 degrees? Show all work. 2/3 1/3(pi) 2/3(pi) pi I used an equation where the central angle equals the arc length divided ...
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Prove that AM is perpendicular to Bh [duplicate]

In the isosceles triangle $ABC$, $M$ is the median of $HD$ and $AH$ is perpendicular to $BC$ and $HD$ is perpendicular to $AC$. Prove that $BD$ is perpendicular to $AM$.
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3D rotation defining the intersection of 2 planes

Triangles $DAE$, $DCE$ and $DBE$ form a quadrangle $ABCD$, where $\angle BAD$ and $\angle BCD$ are right angles. I have a scenario in which I want to find the angles $\angle ABD$ and $\angle DBE$, ...
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Length across cuboid at an angle

I would like to calculate the change in length across a cuboid when looking at it from different angles (e.g. 10 and 20°). In the illustration below the red arrows show the length I would like to ...
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Making a formula that finds the horizontal and vertical distance between two points that change with a new angle.

I am making a Scratch 3.0 game. The shooter sprite is holding a gun slightly off-centre (see images), and I need the bullet to go to the end of the barrel of the gun before travelling forward (as so ...
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How many equally spaced points are needed around a circle of radius r such that every point is d units apart from eachother?

This question is a bit different than what I have seen here. I know how to calculate the positions such that n points will be equally spaced around a circle however ...
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Calculating the missing angle

I have the following problem where I need to find out the missing the angle. I have to apply some triangulation method to solve. I have the values of the hypotenuse. My solution is to break this ...
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How can I find the sum of the angle $AMB$, angle $ANB$ and the angle $ACB$? [closed]

How can I find the sum of the $\angle AMB, \angle ANB$ and the $\angle ACB$? In triangle $ABC$, $\angle ABC =90^\circ$. $BC$ is divided in $3$ parts such that $BM=BN=NC$. And also $AB=BM$. Here are 2 ...
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Apply pitch/roll measurements to different reference frame

My problem is identical to this unanswered question. IMU orientation reference image I have an IMU mounted on an object at an angle offset with that object's pitch and roll axes. When I get pitch ...
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angle and coordinator calculate from two points forming a line

Two points are given: $A (x_1, y_1)$ and $B (x_2, y_2)$. These points form a line. At point $B$ is the end of the line. I need to calculate the angle that is shown in the figure and also the ...
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If angles can be vertical, can they be horizontal or slanted?

IMPORTANT: The angles are named vertex-point on leg-point on leg. Angles are vertical if they share a vertex. $\angle ABC$, $\angle ACD$, $\angle ADE$ and $\angle AEC$ are vertical. Angles are ...
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What is it called when you subtract multiples of 360 degrees?

When you divide a vector by its magnitude to get a unit vector, there's a verb for that: you are "normalizing" the vector. Similarly, is there a verb for when you subtract multiples of $360$ ...
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Calculate arc central angle given the center, radius, start and end points of the arc

How can I calculate the angle at the center of an arc knowing radius and center, start, and end points? I know how to do that if I have the length of the arc, but in my case I don't have it.
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I want to find $\angle BAD$. [closed]

$\angle BDC = 120°$, $\angle BEC = 160°$. I want to find $\angle BAD$.
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