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Sullivan Algebra and Trigonometry: Section 8.1 Applications Involving Right Triangles

Solve applied problems involving right triangles to confirm a nursery's tree growth claim. Find missing lengths and angles, using trigonometry. Explore real-world applications to test the validity of claims.

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Sullivan Algebra and Trigonometry: Section 8.1 Applications Involving Right Triangles

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  1. Sullivan Algebra and Trigonometry: Section 8.1Applications Involving Right Triangles • Objectives of this Section • Solve Right Triangles • Solve Applied Problems

  2. c a b To solve a right triangle means to find the missing lengths of its sides and the measurements of its angles.

  3. c 4 b

  4. h 25

  5. Yola just planted a Hybrid Elm. The nursery claims the tree grows 12 feet per year. Yola wants to verify the claim. She walks 100 feet from the base of the tree and, using a transit that is 2 feet off the ground, determines the angle of elevation is 5.7o. One year later, the angle of elevation 100 feet from the tree is 11.9o. Is the nursery’s claim true?

  6. g h 100 feet 2 feet h = height of tree above transit g = growth of tree during first year

  7. Height of tree after 1 year: 2 + 9.98 + 11.09 = 23.07 feet

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