Throughout this question, take care to explain your reasoning carefully. You should round your answers, where necessary, to two significant figures. In this question you may assume that the Earth is spherical, with diameter 12 700 km. A telecommunications company owns satellites A, B, C and D, which are in orbit around the Earth. At a particular instant in time, all the satellites lie on a circle whose diameter crosses the centre of the Earth and which is 300 km above the surface of the Earth. Satellite A is diametrically opposite satellite B (i.e. AB is a diameter of the orbit and passes through the centre of the Earth). Satellite C is 5 800 km from satellite A. ACB is 90 , ACD is 120 and DAC is 26 .

(a) (i) Draw a diagram of the Earth and the satellites, shown as points, including all the information given in the question. Your diagram does not need to be to scale