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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

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An unfenced grass land is in the form of right triangle ABC with AB=4m, BC=8m and AC as hypotenuse. A goat is tied to a 5 meter long road with its stake at point O which is 2 meter from the side AB and 2 meter from the prolongation of side BC through corner B.

1. How far is O from C in meters?

a. 10.8

b. 10.2

c. 10.6

d. 11.3

2. Determine the area in which the goat can graze inside the land ABC in square meters.

a. 7.49

b. 6.81

c. 8.61

d. 9.47

3. If the land was fenced on sides AB and BC, determine the area in which the goat can graze inside the land ABC, in square meters.

a. 2.95

b. 3.54

c. 2.61

d. 3.24

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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