Sullivan PreCalculus Section 7

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Presentation transcript:

Sullivan PreCalculus Section 7 Sullivan PreCalculus Section 7.1 Applications Involving Right Triangles Objectives of this Section Solve Right Triangles Solve Applied Problems

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

c 4 b

h 25

Yola just planted a Hybrid Elm 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?

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

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