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Section D – Problem Solving

Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Section D – Problem Solving.

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Section D – Problem Solving

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  1. Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

  2. Section D – Problem Solving Julia finds that it is quicker to go to school across the diagonal of a rectangular paddock, than walking around its sides. The diagonal is 85 meters long. One side of the paddock is 42 m.A) Find the length of the other side of the paddock.B) by how much is it shorter to walk across the diagonal?

  3. A lawn with dimensions as shown is bordered with timber. Find (a) the length of AB and (b) the total length of timber required to make the border.

  4. Satomi says she has just cut out a triangular sail for her boat. The lengths of the dies are 6.23 m, 3.87 m and 4.88 m. The sail is supposed to be right angled. Is it?

  5. Section E – True Bearing and Navigation • True bearings measure the direction of travel by comparing it with the true north direction. • Measurements are always taken in the clockwise direction. The bearing of B from A is 120° from true north. It can be written as 120°T or 120°.

  6. Kimi leaves point A and heads east for 5 km. He then heads south for 6 km. How far is he now from point A?

  7. A man travels due east by bicycle at 16 km/h. His son travels due south on his bicycle at 20 km/h. How far apart are they after 4 hours, if they both leave point A at the same time?

  8. A plane takes off from an airport and heads 200 km to the west. It then heads 85 km to the north before turning on a bearing of 315° and heading an additional 100 km. At this point how far is the plane away from the airport? (Hint: Think Trig on the last distance!)

  9. A helicopter travels from base station S on a true bearing of 074 for 112 km to outpost A. It then travels 134 km on a true bearing of 164 to outpost B. How far is outpost B from base station S?

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