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Practice 1. Use the sine ratio, the cosecant ratio, or the inverse sine to solve for x. Round each answer to the nearest tenth. a. F 57° X 11 ft M b. P 17 yd 25 yd S C C. C 15 m 2√2 m

Practice 1. Use the sine ratio, the cosecant ratio, or the inverse sine to solve for x. Round each answer to the nearest tenth. a. F 57° X 11 ft M b. P 17 yd 25 yd S C C. C 15 m 2√2 m

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section: Chapter Questions
Problem 16PTTS
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Draw and label right triangle PQR with LQ = 90°. Then describe the sine ratio in terms of ZR and ZP. Practice 1. Use the sine ratio, the cosecant ratio, or the inverse sine to solve for x. Round each answer to the nearest tenth. a. 57° X Y 11 ft M The sine of an acute angle in a right triangle is the ratio of the length of the side that is opposite the angle to the length of the hypotenuse. The cosecant of an acute angle is the inverse of the sine of the same angle. The inverse sine of x, or sin-¹ x, can be used to determine the measure of an acute angle whose sine is x. b. d. Determine length BG of the support beam. 2. Consider the roof truss shown. Round each answer to the nearest hundredth. 17 yd 25 yd a. Determine the height CG of the roof truss. b. Determine length AB. c. Determine the measure of LBGC. 40° X S 16 ft B 6 ft H DG G C. C D F X 15 m 2√2 m 20 E LESSON 3: The Sine Ratio M3-1 •
Transcribed Image Text:Draw and label right triangle PQR with LQ = 90°. Then describe the sine ratio in terms of ZR and ZP. Practice 1. Use the sine ratio, the cosecant ratio, or the inverse sine to solve for x. Round each answer to the nearest tenth. a. 57° X Y 11 ft M The sine of an acute angle in a right triangle is the ratio of the length of the side that is opposite the angle to the length of the hypotenuse. The cosecant of an acute angle is the inverse of the sine of the same angle. The inverse sine of x, or sin-¹ x, can be used to determine the measure of an acute angle whose sine is x. b. d. Determine length BG of the support beam. 2. Consider the roof truss shown. Round each answer to the nearest hundredth. 17 yd 25 yd a. Determine the height CG of the roof truss. b. Determine length AB. c. Determine the measure of LBGC. 40° X S 16 ft B 6 ft H DG G C. C D F X 15 m 2√2 m 20 E LESSON 3: The Sine Ratio M3-1 •
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