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Sine & Cosine Treasure Hunt

Solve mathematical problems involving triangles and angles using Sine and Cosine functions. Find the largest angles and calculate triangle areas.

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Sine & Cosine Treasure Hunt

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  1. Mathematical Treasure-hunt: Sine & Cosine Mathematical Treasure-hunt: Sine & Cosine Previous Answer Previous Answer 2 1 To the next clue To the next clue 6.66 2.96 The area of a triangle is 10 sq cm. The angle between two of the sides of length 6 cm and 8 cm resp. are obtuse. Work out the size of this angle. In the triangle below work out the value of the area. 3 cm 5 cm 40

  2. Mathematical Treasure-hunt: Sine & Cosine Mathematical Treasure-hunt: Sine & Cosine Previous Answer Previous Answer 4 3 To the next clue To the next clue 13.7 11.2 The sides of a triangle are 3,5 and 7 cm. Show that the largest angle is 120 and find the area. Triangle ABC is such that AB = 4cm, BC = 6 cm and angle ACB = 36. Find the length AC.

  3. Mathematical Treasure-hunt: Sine & Cosine Mathematical Treasure-hunt: Sine & Cosine Previous Answer Previous Answer 6 5 To the next clue To the next clue 6.50 22.3 A triangle has sides AB = 4.5 cm, BC = 6.8 cm and angle ACB = 30. Find the largest angle. From a point A a boat sails due north for 7 km to B. The boat leaves B and moves on a bearing of 100 for 20 km until it reaches C. calculate the distance C from A.

  4. Mathematical Treasure-hunt: Sine & Cosine Mathematical Treasure-hunt: Sine & Cosine Previous Answer Previous Answer 8 7 To the next clue To the next clue 101 or 131 104 A helicopter flies on a bearing of 080 from A to B where AB = 50km.It then flies for 60 km to a point C. Given that C is 80 km from A calculate the bearing of C from A. In triangle ABC AB = 5 cm , BC = 6 cm and AC = 10 cm. Calculate the value of the largest angle.

  5. Mathematical Treasure-hunt: Sine & Cosine Mathematical Treasure-hunt: Sine & Cosine Previous Answer Previous Answer 10 9 To the next clue To the next clue 128.5 or 31.5 108.4 The lengths of a triangle are in the ratio 2:3:4. calculate the largest angle. In triangle ABC AB = 9.3, BC = 6.2 and AC = 12.7. calculate the value of the largest angle.

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