1. A plane flies for 200 km on a bearing of 255° from Luton to Cardiff airport.
It lands at Cardiff and then takes off again flying for 225 km on a bearing of 15° to Manchester airport. It then flew back to Luton.
a) Draw luton as a cross at the middle right of a piece of paper. Then using a protractor and ruler make a scale drawing with 25 km = 1 cm.
b) Estimate the bearing and distance (km) from Manchester to Luton.
16. A pyramid is shown below with apex X.
Each of the sloping edges is 7 cm.
The base of the pyramid is a regular hexagon with sides of length 4cm.
O is the centre.
a) Calculate the height of X above the base of the pyramid Give your answer to 3 sf.
b) Calculate the size of angle JXG
Give your answer correct to 3 sf.
c) Calculate the size of angle GXI Give your answer correct to 3 significant figures