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ON A HORIZONTAL GROUND. THE CURIOUS ENGINEER WANTS TO FIND THE HEIGHT OF THE WATER TANK. SO HE WALKS DUE WEST OF THE OVERHEAD WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 28.4 DEGREES. HE THEN WALKS ON THE SOUTH DIRECTION OF THE WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 23.6 DEGREES. THE DISTANCE BETWEEN TWO POINTS IS 72.8m. QUESTION: WHAT IS THE HEIGHT OF THE OVERHEAD WATER TANK?

ON A HORIZONTAL GROUND. THE CURIOUS ENGINEER WANTS TO FIND THE HEIGHT OF THE WATER TANK. SO HE WALKS DUE WEST OF THE OVERHEAD WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 28.4 DEGREES. HE THEN WALKS ON THE SOUTH DIRECTION OF THE WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 23.6 DEGREES. THE DISTANCE BETWEEN TWO POINTS IS 72.8m. QUESTION: WHAT IS THE HEIGHT OF THE OVERHEAD WATER TANK?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.6: The Law Of Cosines
Problem 21E
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AN OVERHEAD WATER TANK IS BUILT ON A HORIZONTAL GROUND. THE CURIOUS ENGINEER WANTS TO FIND THE HEIGHT OF THE WATER TANK SO HE WALKS DUE WEST OF THE OVERHEAD WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 28.4 DEGREES. HE THEN WALKS ON THE SOUTH DIRECTION OF THE WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 23.6 DEGREES. THE DISTANCE BETWEEN TWO POINTS IS 72.8m. QUESTION: WHAT IS THE HEIGHT OF THE OVERHEAD WATER TANK?
3 AN OVERHEAD WATER TANK IS BUILT ON A HORIZONTAL GROUND. THE CURIOUS ENGINEER WANTS TO FIND THE HEIGHT OF THE WATER TANK SO HE WALKS DUE WEST OF THE OVERHEAD WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 28.4 DEGREES. HE THEN WALKS ON THE SOUTH DIRECTION OF THE WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 23.6 DEGREES. THE DISTANCE BETWEEN TWO POINTS IS 72.8m. QUESTION: WHAT IS THE HEIGHT OF THE OVERHEAD WATER TANK?
Transcribed Image Text:3 AN OVERHEAD WATER TANK IS BUILT ON A HORIZONTAL GROUND. THE CURIOUS ENGINEER WANTS TO FIND THE HEIGHT OF THE WATER TANK SO HE WALKS DUE WEST OF THE OVERHEAD WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 28.4 DEGREES. HE THEN WALKS ON THE SOUTH DIRECTION OF THE WATER TANK AND MEASURES THE ANGLE OF ELEVATION TO BE 23.6 DEGREES. THE DISTANCE BETWEEN TWO POINTS IS 72.8m. QUESTION: WHAT IS THE HEIGHT OF THE OVERHEAD WATER TANK?
SINE LAW: b d KU C NOTE : C COSINE LAW: $ a sing sinß = 으. c²=a² +6²-2abcos C 6²=a²+ c² - 2accos & a²=b²tc²-2bccos a Cangle C Sin C WE USE SINE LAW IF THERE ARE AT LEAST TWO SIDES WITH ONE INCLUDED ANGLE. WE USE COSINE LAW IF THERE ARE TWO KNOWN SIDES WITH ONE UNKNOWN ANGLE.
Transcribed Image Text:SINE LAW: b d KU C NOTE : C COSINE LAW: $ a sing sinß = 으. c²=a² +6²-2abcos C 6²=a²+ c² - 2accos & a²=b²tc²-2bccos a Cangle C Sin C WE USE SINE LAW IF THERE ARE AT LEAST TWO SIDES WITH ONE INCLUDED ANGLE. WE USE COSINE LAW IF THERE ARE TWO KNOWN SIDES WITH ONE UNKNOWN ANGLE.
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