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Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section: Chapter Questions
Problem 1GP
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Find the solution of the ff:

TRIGONOMETRIC EQUATIONS Find the fundamental solutions using the theorems 1, 2 and 3: a) From a window of one building, the angle of depression to the base of a second building is 29° 30' and the angle of elevation to the top of the 2nd building is 470 50'. If the 2 buildings are 200 m apart, How high is the second building. - --> Ans. H = 334 m b) Two towers A and B are located 4 km apart. A ranger at tower A spots a fire at a building C and finds angle CAB to be 55° 20'. A ranger at tower B finds angle CBA to be 49° 10' . How far are the ---> Ans. AC = 3.1 km towers A and B from the fire at tower C. BC=3.4 km
Transcribed Image Text:TRIGONOMETRIC EQUATIONS Find the fundamental solutions using the theorems 1, 2 and 3: a) From a window of one building, the angle of depression to the base of a second building is 29° 30' and the angle of elevation to the top of the 2nd building is 470 50'. If the 2 buildings are 200 m apart, How high is the second building. - --> Ans. H = 334 m b) Two towers A and B are located 4 km apart. A ranger at tower A spots a fire at a building C and finds angle CAB to be 55° 20'. A ranger at tower B finds angle CBA to be 49° 10' . How far are the ---> Ans. AC = 3.1 km towers A and B from the fire at tower C. BC=3.4 km
Theorem 1: If sin e = sin O then a) e = 0 + 2K T b) e = (T - P) + 2Km where K is an integer Theorem 2: If cos e = cos then a) e = 0 + 2K T b) e = -0 + 2K T where K is an integer Theorem 3: If tan e = tan O then a) e = 0 e = 0 + K T where K is an integer or or or c)
Transcribed Image Text:Theorem 1: If sin e = sin O then a) e = 0 + 2K T b) e = (T - P) + 2Km where K is an integer Theorem 2: If cos e = cos then a) e = 0 + 2K T b) e = -0 + 2K T where K is an integer Theorem 3: If tan e = tan O then a) e = 0 e = 0 + K T where K is an integer or or or c)
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