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Skill isolation: identifying the angle between a line and a plane

Click through this applet to see how we can define the angle between a line and a plane.

You can click and drag to rotate the view.

Any points in blue can be moved around.

Skill isolation: identifying the face and line segment that make a given angle

Look at the diagram and fill in the blanks given underneath it. You may need to click and drag the shape to rotate it to get a better view of the marked angle. (Note that any points labelled on the diagram are either vertices or midpoints of an edge.)

Reveal the answer by clicking on the question text.

Click the “New angle” button to generate a new question.

Rotate the shape by clicking and dragging the mouse. Hold down shift and drag to translate the shape. Scroll up or down on the applet to zoom in or out.

Trigonometry with right-angled triangles in 3D shapes

Interactive GeoGebra activity

Rotate the cuboid by clicking and dragging the mouse. Hold down shift and drag to translate the cuboid. Scroll up or down on the applet to zoom in or out.