Practise the method.Example 1In a right triangle, the hypotenuse is 14cm and an acute angle is 30∘. Find the side x opposite that angle, in cm. Use sin30∘=0.5.Right triangleRight triangleRight triangle, right angle at the lower left. vertical leg x cm; hypotenuse 14 cm. Angle at the lower right is 30 degrees. Diagram not to scale. Use the labelled measurements.x cm14 cm30°Diagram not to scaleShow worked answerAnswer: 7sin30∘=hypotenuseoppositex=14×0.5=7cm.Example 2In a right triangle, the hypotenuse is 14cm and an acute angle is 60∘. Find the side x adjacent to that angle, in cm. Use cos60∘=0.5.Right triangleRight triangleRight triangle, right angle at the lower left. Horizontal leg x cm; hypotenuse 14 cm. Angle at the lower right is 60 degrees. Diagram not to scale. Use the labelled measurements.x cm14 cm60°Diagram not to scaleShow worked answerAnswer: 7cos60∘=hypotenuseadjacentx=14×0.5=7cm.Example 3In a right triangle, an acute angle is 45∘ and its adjacent leg is 5cm. Find the opposite leg x, in cm. Use tan45∘=1.Right triangleRight triangleRight triangle, right angle at the lower left. Horizontal leg 5 cm; vertical leg x cm. Angle at the lower right is 45 degrees. Diagram not to scale. Use the labelled measurements.5 cmx cm45°Diagram not to scaleShow worked answerAnswer: 5tan45∘=adjacentoppositex=5×1=5cm.