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Applications of Trigonometric Functions

Applications of Trigonometric Functions . Section 4.8. Objectives. Solve a right triangle. Solve problems involving bearings. . Solve the triangle . B. c. a. 23.5 . 10. Vocabulary. bearings .

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Applications of Trigonometric Functions

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  1. Applications of Trigonometric Functions Section 4.8

  2. Objectives • Solve a right triangle. • Solve problems involving bearings.

  3. Solve the triangle B c a 23.5 10

  4. Vocabulary • bearings The bearing from point O to point P is the acute angle, measured in degrees, between the ray OP and a north-south line.

  5. Use the picture below to answer the questions. N B A 75 60 W E O 35 C 80 D Find the bearing from O to A. Find the bearing from O to B. S

  6. Use the picture below to answer the questions. N B A 75 60 W E O 35 C 80 D Find the bearing from O to C. Find the bearing from O to D. S

  7. A forest ranger sights a fire directly to the south. A second ranger, 7 miles east of the first ranger, also sights the fire. The bearing from the second ranger to the fire is S 28 W. How far, to the nearest tenth of a mile, is the first ranger from the fire?

  8. A boat leave the entrance to a harbor and travels 150 miles on a bearing of N 53 E. How many miles north and how many miles east from the harbor has the boat traveled?

  9. A hot-air balloon is rising vertically. From a point on level ground 125 feet from the point directly under the passenger compartment, the angle of elevation to the balloon changes from 19.2 to 31.5. How far to the nearest tenth of a foot does the balloon rise during this period?

  10. 31.7 19.2 125 feet

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