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3) Solve a right triangle that has a 40° angle and a 20 inch hypotenuse.

3) Solve a right triangle that has a 40° angle and a 20 inch hypotenuse.

Elementary Geometry For College Students, 7e
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
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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.
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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