Practice 16. For acute angle A, sin A 0.7 and cos A = V0.51. (a) Use a quotient identity to find tan A. (b) Use a reciprocal identity to find sec A. Practice 17. From the top of a 65 foot-high building, an observer measures the angle of depression of a bicycle on the sidewalk as 25°. Find the distance from the bicycle to the base of the building to the nearest foot. Practice 18. John wants to measure the height of the tree he planted many years ago. He walks exactly 18 meters from the base of the tree, turns around and looks up to the top of the tree. The angle of elevation from the ground to the top of the tree is 27°. How tall is the tree to the nearest tenth of a meter?

Practice 16. For acute angle A, sin A 0.7 and cos A = V0.51. (a) Use a quotient identity to find tan A. (b) Use a reciprocal identity to find sec A. Practice 17. From the top of a 65 foot-high building, an observer measures the angle of depression of a bicycle on the sidewalk as 25°. Find the distance from the bicycle to the base of the building to the nearest foot. Practice 18. John wants to measure the height of the tree he planted many years ago. He walks exactly 18 meters from the base of the tree, turns around and looks up to the top of the tree. The angle of elevation from the ground to the top of the tree is 27°. How tall is the tree to the nearest tenth of a meter?

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

Practice 16. For acute angle A, sin A 0.7 and cos A = V0.51.
(a) Use a quotient identity to find tan A.
(b) Use a reciprocal identity to find sec A.
Practice 17. From the top of a 65 foot-high building, an observer measures the angle of
depression of a bicycle on the sidewalk as 25°. Find the distance from the bicycle to the base
of the building to the nearest foot.
Practice 18. John wants to measure the height of the tree he planted many years ago. He
walks exactly 18 meters from the base of the tree, turns around and looks up to the top of the
tree. The angle of elevation from the ground to the top of the tree is 27°. How tall is the tree
to the nearest tenth of a meter?

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