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Right-angled Trigonometry

Right-angled Trigonometry. A. Right-angled Trigonometry. Opposite. A. Right-angled Trigonometry. Hypotenuse. Opposite. A. Right-angled Trigonometry. Hypotenuse. Opposite. A. Adjacent. Right-angled Trigonometry. Opp. Hyp. A. Adj. Right-angled Trigonometry. Opp. Hyp. A. Adj.

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Right-angled Trigonometry

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  1. Right-angled Trigonometry A

  2. Right-angled Trigonometry Opposite A

  3. Right-angled Trigonometry Hypotenuse Opposite A

  4. Right-angled Trigonometry Hypotenuse Opposite A Adjacent

  5. Right-angled Trigonometry Opp Hyp A Adj

  6. Right-angled Trigonometry Opp Hyp A Adj

  7. Right-angled Trigonometry Opp Hyp A Adj

  8. Right-angled Trigonometry Opp Hyp The Old Arab A Adj

  9. Right-angled Trigonometry Opp Hyp The Old Arab Sat On His A Adj

  10. Right-angled Trigonometry Opp Hyp The Old Arab Sat On His Camel And Hiccupped A Adj

  11. Example Calculate the length of PQ in the triangle PQR P R 52 cm 32 Q

  12. Example Calculate the length XY in the triangle XYZ X Y 59 4.6 cm Z

  13. Example Calculate the length of BC in the triangle ABC. B 5 cm 24 A C

  14. Example A surveyor, P, is 1000m away on horizontal ground from the foot of a radio mast, QR. From P the angle of elevation of the top, R, of the mast is 20. Find the height of the mast. Assume the surveyor’s height to be negligible.

  15. Example From the top of a vertical cliff 100m high the angle of depression of a boat out at sea is 32. How far is the boat from the foot of the cliff?

  16. B 4 cm Example Calculate the size of angle A in the triangle ABC A C 6 cm

  17. Example Find the size of angle x in each of the following (i) 1.2 cm x 4.7 cm

  18. x 10 cm 3.7 cm (ii)

  19. 7 cm x 12 cm (iii)

  20. R P P 8 cm 8 cm 6 cm Example Calculate the size of angle PQR in the triangle below.

  21. Example The road from village A runs due West for 5 miles to a fort B. A television mast is due South of B and 4 miles from B. Find the distance and bearing of the mast from A.

  22. E A D H B C Example The figure is a pyramid on a square base ABCD. The edges of the base are 30cm long and the height, EH, of the pyramid is 42cm. Find a) the length of AC b) the angle EAH

  23. E F D A B C Example ABCDEF is a prism with a triangular cross-section. , BC = 8m, AB = 6m and CD = 20m. Find (i) AC (ii) BD (iii) the total surface area of the prism.

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