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4.8 Applications

4.8 Applications. Involving right triangles. 4.8 Applications. For this section, 3 angles of a triangle are denoted by the letters A, B, and C (C is the right angle) The sides opposite these angles are a, b, and c (c is the hypotenuse). B. a. c. A. C. b. 4.8 Applications.

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4.8 Applications

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  1. 4.8 Applications Involving right triangles

  2. 4.8 Applications • For this section, 3 angles of a triangle are denoted by the letters A, B, and C (C is the right angle) • The sides opposite these angles are a, b, and c (c is the hypotenuse) B a c A C b

  3. 4.8 Applications • Solve the right triangle if: A = 34.2˚ and b = 19.4

  4. 4.8 Applications • Solve the following right triangles: • B = 54˚, c = 15 • A = 8.4˚, a = 40.5 • a = 25, c = 35

  5. 4.8 Applications • Find the altitude of the isosceles triangle. Ѳ = 18˚ b =10 inches Ѳ Ѳ b

  6. 4.8 Applications • Find the altitude of the isosceles triangle. Ѳ =27˚ b = 11 feet Ѳ Ѳ b

  7. 4.8 Applications • The sun is 20˚ above the horizon. Find the length of a shadow cast by a building that is 600 feet tall.

  8. 4.8 Applications • The length of a shadow of a tree is 125 feet when the angle of elevation of the sun is 33˚. Approximate the height h of the tree.

  9. 4.8 Applications • You’re standing 100 feet from the base of a platform from which people are bungee jumping. The angle of elevation from your position to the top of the platform from which they jump is 51˚. From what height are the people jumping?

  10. 4.8 Applications • An amateur radio operator erects a 75-foot vertical tower for an antenna. Find the angle of elevation to the top of the tower at a point on level ground 50 feet from its base.

  11. 4.8 Applications Involving right triangles

  12. Trig & Bearings • In navigation, directions are generally given in terms of bearings. • A bearing measures the acute angle that a line of sight makes with a fixed north-south line.

  13. S 35º E N W E S

  14. N 80º W N W E S

  15. N 45º E N W E S

  16. E 15º S N W E S

  17. A ship leaves port at noon and heads due west at 20 knots per hour. At 2 pm, the ship changes course to N 54º W. Find the ship’s bearing and distance from the port of departure at 3pm.

  18. 4.8 Applications

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  20. 4.8 Applications

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