The diagram shows a path, up a hill. ST, The path is 1.2 kilometres long and slopes at an angle of 21° to the horizontal. Calculate the height of the hill, showing all your working. Give your answer in metres. m Answer …………………….…………… [3] In the diagram below is a straight line. 4. ABD = 4 m and = 6 m. Angle = 90°. AB AC BAC NOT TO SCALE (a) (i) Use trigonometry to calculate angle ABC. Angle = Answer (a)(i) ABC ……….……… [2] (ii) Find angle CBD. = Answer (a)(ii) CBD ……………… [1] (b) Calculate the length of BC. = m Answer (b) BC …………….…….…… [2] (c) Work out the perimeter and area of triangle ABC. Give the correct units for each. Perimeter = Area = Answer (c) ………….… ………….… [3] 5. NOT TO is a right-angled triangle. ABC
The diagram shows a path, ST, up a hill. The path is 1.2 kilometres long and slopes at an angle of 21° to the horizontal. Calculate the height of the hill, showing all your working. Give your answer in metres. Answer …………………….…………… m [3] 4. In the diagram below ABD is a straight line. AB = 4 m and AC = 6 m. Angle BAC = 90°. NOT TO SCALE (a) (i) Use trigonometry to calculate angle ABC. Answer (a)(i) Angle ABC = ……….……… [2] (ii) Find angle CBD. Answer (a)(ii) CBD = ……………… [1] (b) Calculate the length of BC. Answer (b) BC = …………….…….…… m [2] (c) Work out the perimeter and area of triangle ABC. Give the correct units for each. Answer (c) Perimeter = ………….… Area = ………….… [3] 5. NOT TO ABC is a right-angled triangle.
trigonometry-1.docx