Learning objectives

Calculate the distance between two points and the coordinates of their midpoint in three-dimensional space

Find the volume and surface area of right pyramids, right cones, spheres, hemispheres and combinations of these solids

Use the sine, cosine and tangent ratios and Pythagoras' theorem to find sides and angles in right-angled triangles, including angles of elevation and depression

Use the sine rule, the cosine rule and the area formula ½ab sin C to solve non-right-angled triangles

Construct a labelled diagram from a written description and solve problems in two and three dimensions, including the angle between two intersecting lines and between a line and a plane

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