Calculating distance III 0 Overview Using this Resource Connecting to the Curriculum Marking Student Responses Further Resources This task is about using trigonometry to calculate distances in practical problems. Question 1Change answer a) Emily was standing 300 metres from the Eiffel Tower. The angle from where she stood to the top of the tower was 45°. [Not drawn to scale] a) Emily was standing 300 metres from the Eiffel Tower. The angle from where she stood to the top of the tower was 45°. [Not drawn to scale] Calculate the height of the Eiffel Tower, as shown by 'a'. m Question 1Change answer b) The top of a 5-metre ladder makes an angle of 30° with the side of a building. [Not drawn to scale] b) The top of a 5-metre ladder makes an angle of 30° with the side of a building. [Not drawn to scale] Calculate the distance the ladder is from the building at ground level, as shown by 'b'. m Question 1Change answer c) Taylor walks across a road at an angle of 15° and a distance of 13.5 metres to Pere on the other side. [Not drawn to scale] c) Taylor walks across a road at an angle of 15° and a distance of 13.5 metres to Pere on the other side. [Not drawn to scale] How wide is the road, as shown by 'c'? m Task administration: This task can be completed with pen and paper or online (with NO auto marking). Levels: 5, 6 Curriculum info: Maths, Geometry and Measurement, Shape Keywords: trigonometry, sine, cosine, tangents Description of task: Students use trigonometry to calculate distances in practical problems. Answers/responses: Y10 (09/1998) a) 300 very difficult b) 2.5 very difficult c) 13.04 [Accept 13-13.1] very difficult Distance between people Calculating distance II Using trigonometry to calculate length Calculating distance Tracking sports professionals Kicking for goal Calculating lengths and heights Sails for the yacht
