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Using given trigonometry ratios, students calculate distances in practical problems.

Students calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.

Students choose the correct trigonometric ratio which would be used to calculate a missing length in two practical problems.

This task requires students to calculate the size of angles using their knowledge of angles and parallel lines: alternate angles, corresponding angles and co-interior angles. Understanding of adjacent angles on a straight line is also required.

Students are required to use trigonometry to calculate the length of one side of a right-angled triangle in three problems based on a ski lift, a toy sail boat and a penguin on an iceberg.

Students compare the area of two different triangles.