Four rods are hinged at their ends to form a convex quadrilateral.
Investigate the different shapes that the quadrilateral can take.
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A hexagon, with sides alternately a and b units in length, is
inscribed in a circle. How big is the radius of the circle?
There are many different methods to solve this geometrical problem - how many can you find?
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Stick some cubes together to make a cuboid. Find two of the angles
by as many different methods as you can devise.
What angle is needed for a ball to do a circuit of the billiard
table and then pass through its original position?
An environment that simulates a protractor carrying a right- angled
triangle of unit hypotenuse.
A dot starts at the point (1,0) and turns anticlockwise. Can you
estimate the height of the dot after it has turned through 45
degrees? Can you calculate its height?
A collection of short Stage 4 problems on trigonometry.