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Pythagoras Applications Pythagoras: examples Steps… 1) Draw a triangle 2) Label the triangle 3) Finding short or long side? 4) Working 5) Answer sensible? 6) Units & rounding 1) Find length D Dm 7m 12m 2) A boat sails from port 3.6 km South, then 4.8 km West, then back to port. How far did the boat sail in total? 3) Find x x+1 x x-7 Trigonometry Applications 1) Find the marked angle in the triangle. 400 m Theta p205 Ex 21.2 p208 Ex 21.3 θ° 600 m 2) An aeroplane takes off and climbs in a straight line. If it flies 5000m through the air and climbs to a height of 1200m find the angle of climb. 3) A ship leaves port and sails north for 2.4 km then east for 5 km. Find the bearing the now is from the port 3D Pythagoras & trig applications Planes & Projections Calculate the angle between the line and its projection onto the plane A B D C 1) Name the angle between the line AH and its projection onto the plane AEGC 3.4 m 2) Calculate the size of this angle G E F 2.5 m 3.1 m 3) Calculate the angle between the planes ABGH and BCGF 4) Calculate the angle between the planes ABGH and AEFB H G C H D F E 12.6 m m 6.5 m B 8.4 m A