409 results for "angle".
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Question in Standard Maths
Student is given a triangle with 2 or 3 side lengths given and asked to use the sine rule to find the value of an angle. Triangle can be acute or obtuse.
Side and angle lengths are randomised. Units are randomised.
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Question in Standard Maths
Students are shown a right angled triangle and asked to find the value of an angle using a trig identity.
The triangle is a fixed image, but the angles and side lengths are randomly selected.
The angle is to be given in degrees and minutes.
There are 4 orientations of the triangle in the diagram. The orientation is randomly chosen.
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Question in Standard Maths
Students are shown a right angled triangle and asked to compute a side length using a trig identity.
The triangle is a fixed image, but the angles and side lengths are randomly selected.
The angle is given in degrees and minutes, and students are asked for the side length correct to 1 decimal place.
There are 4 different triangle orientations that can display.
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Question in MASH Bath: Question Bank
Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.
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Question in MASH Bath: Question Bank
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.
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Question in MASH Bath: Question Bank
Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.
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Question in MASH Bath: Question Bank
Given three 3-dimensional vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, calculate the scalar product between $\mathbf a$ and $\mathbf b$, the angle between $\mathbf a$ and $\mathbf b$, and $\mathbf a (\mathbf b \cdot \mathbf c)$,
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Question in MASH Bath: Question Bank
Given three 2-dimensional vectors $\mathbf a$, $\mathbf b$ and $\mathbf c$, calculate the scalar product between $\mathbf a$ and $\mathbf b$, the angle between $\mathbf a$ and $\mathbf b$, and $\mathbf a (\mathbf b \cdot \mathbf c)$,
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Question in MASH Bath: Question Bank
Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.
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Question in MASH Bath: Question Bank
Given two side-lengths and an angle of a triangle, use the sine rule to calculate an unknown angle.
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Question in MASH Bath: Question Bank
Calculating a section of a sector of a circle when given the arc length and angle of the sector of the circle. This question requires the use of the formulas to find the area of a sector of a circle and to find the area of a triangle.
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Question in MASH Bath: Question Bank
Finding the area of a circle when given the arc length and angle of a sector of the circle.
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Question in MASH Bath: Question Bank
Finding the radius of a circle when given the arc length and angle of a sector of the circle.
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Question in MASH Bath: Question Bank
Finding the arc length of a sector of a circle when given the radius of the circle and angle of the sector.
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Question in MASH Bath: Question Bank
Draws a triangle based on 3 side lengths. Randomises asking angle or side.
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Question in MASH Bath: Question Bank
Draws a triangle based on 3 side lengths. Randomises asking angle or side.
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Question in MASH Bath: Question Bank
Draws a triangle based on 3 side lengths. Randomises asking angle or side.
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Question in Ruth's workspace
Draws a triangle based on 3 side lengths.
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Question in Content created by Newcastle University
Two questions testing the application of the Sine Rule when given two angles and a side. In this question, the triangle is always acute.
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Question in Content created by Newcastle University
A question testing the application of the Cosine Rule when given two sides and an angle. In this question, the triangle is always obtuse and both of the given side lengths are adjacent to the given angle (which is the obtuse angle).
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Question in Content created by Newcastle University
Two questions testing the application of the Cosine Rule when given two sides and an angle. In these questions, the triangle is always acute and both of the given side lengths are adjacent to the given angle.
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Question in Engineering Statics
Calculate the centroidal moment of intertia of a rectangle with a excentric rectangular hole.
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Question in Engineering Statics
Solve for an angle which will result in equilibrium for a triangle subjected to three couples. A trial and error solution is recommended.
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Exam (3 questions) in Engineering Statics
Homework set. Calculate Moment of Inertia for I beams, channels, angles, etc.
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Question in Glasgow Numbas Question Pool
Calculate the distance between two points along the surface of a sphere using the cosine rule of spherical trigonometry. Context is two places on the surface of the Earth, using latitude and longitude.
The question is randomised so that the numerical values for Latitude for A and B will be positive and different (10-25 and 40-70 degrees). As will the values for Longitude (5-25 and 50-75). The question statement specifies both points are North in latitude, but one East and one West longitude, This means that students need to deal with angles across the prime meridian, but not the equator.
Students first calculate the side of the spherical triangle in degrees, then in part b they convert the degrees to kilometers. Part a will be marked as correct if in the range true answer +-1degree, as long as the answer is given to 4 decimal places. This allows for students to make the mistake of rounding too much during the calculation steps.
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Question in Engineering Statics
Calculate the moment of inertia of a composite shape consiting of two rectangles about the x or y-axis. Parallel axis theorem is often required.
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Question in Engineering StaticsSimple geometry to introduce the three-force-body procedure.
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Question in Trig
Simple trig equations with radians
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Question in Fundamentals of Mathematics
Draws a triangle based on 2 angles and a side length.
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Question in Christian's workspace
This is a copy of a question by Ben Brawn. It replaces the JavaScript construction of the diagram with Eukleides.