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Explain question 54 please

Explain question 54 please

Trigonometry (11th Edition)
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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Explain question 54 please
ht triangle is a basic geometric shape that occurs in many a Eronomy, surveying, construction, highway design, GPS, wea -graphy. Trigonometric functions are used to solve triangles. S -es finding the measure of each side and angle in the triangle. that we have encountered previously, the six trigonometric o model data and describe a variety of physical phenomena. c Concepts of Trigonometric Functions ard Labeling The standard labeling used to designate ver f a triangle ABC is shown in FIGURE 6.25. α Standard Labeling of a Right Triangle B FIGURE 6.25 B C Vertices: A, B, and C Angles: a, B, and y <= 90° Legs: a and b Hypotenuse: c a is opposite a. bis opposite B. cis opposite y. y important ideas in trigonometry depend on the proper imilar triangles have congruent corresponding angles, but
Transcribed Image Text:ht triangle is a basic geometric shape that occurs in many a Eronomy, surveying, construction, highway design, GPS, wea -graphy. Trigonometric functions are used to solve triangles. S -es finding the measure of each side and angle in the triangle. that we have encountered previously, the six trigonometric o model data and describe a variety of physical phenomena. c Concepts of Trigonometric Functions ard Labeling The standard labeling used to designate ver f a triangle ABC is shown in FIGURE 6.25. α Standard Labeling of a Right Triangle B FIGURE 6.25 B C Vertices: A, B, and C Angles: a, B, and y <= 90° Legs: a and b Hypotenuse: c a is opposite a. bis opposite B. cis opposite y. y important ideas in trigonometry depend on the proper imilar triangles have congruent corresponding angles, but
sides in redth. B a S ABC having the standard labeling shown in FIGURE 6.25 Exercises 51-54: Complete the following for right triangle Approximate the answer to the nearest hundredth. 51. Find a if b = 12 and a = 52. Find b if c = 23 and 3 = 45°. 53. Find c if a = 100 and 3 = 53°43'. 54. Find a if b = 64 and a = 78°15'. 60°. Cofunctions Exercises 55-58: (Refer to Example 10.) Write an equivalent expression using a cofunction. Approximate the expression to four decimal places using a calculator. 55. (a) sin 70° (b) cos 40° 56. (a) cot 23° 57. (a) csc 49° 58. (a) cot 87° (b) tan 48° D1932 (b) sec 63° (b) sec 72° Applications 59. Height of the Cloud Base (Refer to Example 3.) From a distance of 1500 feet from the spotlight, t anglo the he height of 64. Aerial Ph directly ab shadow is is 35.3°. E 65. Angle of football The ang dium is fly to be your an 66. Angle feet ab from t far hor the tre 67. Heigh the st buildi depre the fig street
Transcribed Image Text:sides in redth. B a S ABC having the standard labeling shown in FIGURE 6.25 Exercises 51-54: Complete the following for right triangle Approximate the answer to the nearest hundredth. 51. Find a if b = 12 and a = 52. Find b if c = 23 and 3 = 45°. 53. Find c if a = 100 and 3 = 53°43'. 54. Find a if b = 64 and a = 78°15'. 60°. Cofunctions Exercises 55-58: (Refer to Example 10.) Write an equivalent expression using a cofunction. Approximate the expression to four decimal places using a calculator. 55. (a) sin 70° (b) cos 40° 56. (a) cot 23° 57. (a) csc 49° 58. (a) cot 87° (b) tan 48° D1932 (b) sec 63° (b) sec 72° Applications 59. Height of the Cloud Base (Refer to Example 3.) From a distance of 1500 feet from the spotlight, t anglo the he height of 64. Aerial Ph directly ab shadow is is 35.3°. E 65. Angle of football The ang dium is fly to be your an 66. Angle feet ab from t far hor the tre 67. Heigh the st buildi depre the fig street
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