2. A telegraph pole is 6.2metres high. The wind blows the pole over into the position as shown below. AB is 2.9metres and angle ABC is 130°. Calculate the length of AC. 4 3. Paving stones are in the shape of a rhombus. The side of each rhombus is 40centimetres long. The obtuse angle is 110°. Find the area of one paving stone. 4 4. Triangle DEF is shown below. It has sides of length 10.4metres, 13.2metres and 19.6metres. Calculate the size of angle EDF. 3 (15) Simultaneous Equations 1. Draw the with equation + = 6 and 2x + = 8. x y y Find the point of intersection of these lines. 5 2. The graph below shows two straight lines. = 2x 3 y • – + 2y = 14 x •
2. A telegraph pole is 6.2metres high. The wind blows the pole over into the position as shown below. AB is 2.9metres and angle ABC is 130°. Calculate the length of AC. 4 3. Paving stones are in the shape of a rhombus. The side of each rhombus is 40centimetres long. The obtuse angle is 110°. Find the area of one paving stone. 4 4. Triangle DEF is shown below. It has sides of length 10.4metres, 13.2metres and 19.6metres. Calculate the size of angle EDF. 3 (15) Simultaneous Equations 1. Draw the with equation x + y = 6 and 2x + y = 8. Find the point of intersection of these lines. 5 2. The graph below shows two straight lines. • y = 2x – 3 • x + 2y = 14