Activity 3 - Question 7 Page 299 7 This Map Shows Several Towns in Central Otago

level 4B NZ Curriculum Mathematics connecting all strands number & algebra • measurement & geometry • statistics

Chapter 17 – Activity 3 - Question 7 Page 299 7 This map shows several towns in Central Otago. Lake Maungawera Hawea Flat Wanaka N Lagoon Valley WANAKA Glendhu Bay Albert Town

S Lindis Valley aradise Mt Barker Luggate 8A

RICHARDSON MOUNTAIMTNS Rees Valley

HARRIS MOUNTAIN Queensberry Skippers Tarras Glenorchy Macetown Ardgour Cardrona Locharburn Coronet Peak S Ski Field Lindis Crossing N Ski Field 6 Cardrona PISA RANGE Bendigo MOUNTA Mt Pisa Arrowtown Wharehuanui Crippletown MOUNTAI Arrow Pisa Moorings Drybr Junction Crown Terrace Lake Arthurs Point Lowburn Dunstan Lower Shotover Gibbston DUNSTAN Matakanui 6 Ripponvale QUEENSTOWN 6A Frankton CROMWELL Fernhill Waitiri Kelvin Kawarau Omaka Gorge Waenga pu Peninsula Mount ati Nicholas k Bannockburn Mount Wa icholas L ke Remarkables Waikerikeri a Ski Field Carricktown 8 Walter Peak 6 Chatto Station Lake Wakatipu Nevis Crossing Muttontown Clyde Springvale Schoolhouse Flat Earnscleugh Galloway Lower Nevis Blackmans ALEXANDRA

S Conroys Gully Butchers Gully

MOUNTAIN Fruitlands EYRE KINGSTON HECTOR MOUNTAINS

Gorge Creek Tawhiti Donated and copyright to GeoSmart Maps Ltd ARVIE MOUNTAINS Give your answers to the nearest 5°. a A helicopter pilot wants to fly from Queenstown to Wanaka via Cromwell using his auto-pilot. i What bearing should he put into the system to get from Queenstown to Cromwell? ii What bearing should he put in to get from Cromwell to Wanaka?

b Because of dense fog, a boat needs to use its navigational system to get from Queenstown to Walter Peak Station to pick up a worker who is unwell. What is the bearing of Walter Peak Station from Queenstown?

c There is a heavy snow fall and the area shown on the Kingston map is covered with snow. Alexandra A helicopter needs to take supplies from Queenstown Cromwell to these places using the on-board navigational system. Lowburn Work out a route that the helicopter could take and the bearings that would need to be entered into the system Arrowtown after each stop. Frankton