Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
Section4.5: Finding An Equation From Lts Graph
Problem 39PS
Related questions
Question
Check point 3
![Check Point 3 If sin < 0 and cos < 0, name the quadrant in which angle
0 lies.
EXAMPLE 4 Evaluating Trigonometric Functions
Given tan 0 = -and cos 0 > 0, find cos 0 and csc 0.
A circle has a radius of 10 inches. Find the length of the arc intercepted by a central
angle of 120°.
EXAMPLE 7
Determining the Angle of Elevation
A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of
elevation of the sun to the nearest degree.
SOLUTION
The situation is illustrated in Figure 4.40. We are asked to find 0.
0 0
80
48 0
21 m
25 m
Angle of elevation
We begin with the tangent function.
tan 0 =
side opposite 0
side adjacent to
21
25](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ea2baf7-876a-48d0-9f26-6ee04c1e2a57%2Fbd8a1804-48b4-4631-a46b-627364fea5c1%2Fs971577_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Check Point 3 If sin < 0 and cos < 0, name the quadrant in which angle
0 lies.
EXAMPLE 4 Evaluating Trigonometric Functions
Given tan 0 = -and cos 0 > 0, find cos 0 and csc 0.
A circle has a radius of 10 inches. Find the length of the arc intercepted by a central
angle of 120°.
EXAMPLE 7
Determining the Angle of Elevation
A building that is 21 meters tall casts a shadow 25 meters long. Find the angle of
elevation of the sun to the nearest degree.
SOLUTION
The situation is illustrated in Figure 4.40. We are asked to find 0.
0 0
80
48 0
21 m
25 m
Angle of elevation
We begin with the tangent function.
tan 0 =
side opposite 0
side adjacent to
21
25
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