Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Concept explainers
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question

Transcribed Image Text:EXAMPLE 4
Solve a real-world problem
THEATER DESIGN Suppose your school is building a raked stage. The stage
will be 30 feet long from front to back, with a total rise of 2 feet. A rake (angle
of elevation) of 5° or less is generally preferred for the safety and comfort of
the actors. Is the raked stage you are building within the range suggested?
audience
stage back
30 ft
2 ft
stage front
Solution
Use the sine and inverse sine ratios to find the degree measure x of the rake.
sin x° =
opp.
- 2
= 0.0667
hyp.
30
x= sin 0.0667 = 3.824
The rake is about 3.8°, so it is within the suggested range of 5° or less.
A
raked stage slants upward from front to back to give the audience a better view.
Guided Practice Problem #3 and #4
3) Solve a right triangle that has a 40° angle and a 20 inch hypotenuse.
4) WHAT IF? In Example 4, suppose another raked stage is 20 feet long from front to back with
a total rise of 2 feet. Is this raked stage safe? Explain.
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