A river runs west to east. A tree stands on the edge of one bank of the river and a man standing directly opposite on the other bank of the river wishes to determine the width of the river and the height of the tree. If the man walks 7m west along the bank, the angle of elevation to the top of the tree is 17 degrees. If he walks 5 m east from the point opposite the tree, the angle of elevation to the top of the tree would be 19 degrees. Draw the diagram and determine the height of the tree and the width of the river.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.5: Special Right Triangles
Problem 25E: A jogger runs along two sides of an open rectangular lot. If the first side of the lot is 200 ft...
icon
Related questions
Question
A river runs west to east. A tree stands on the edge of one bank of the river and a man standing directly opposite on the other bank of the river wishes to determine the width of the river and the height of the tree. If the man walks 7m west along the bank, the angle of elevation to the top of the tree is 17 degrees. If he walks 5 m east from the point opposite the tree, the angle of elevation to the top of the tree would be 19 degrees. Draw the diagram and determine the height of the tree and the width of the river.
 
 
Expert Solution
steps

Step by step

Solved in 6 steps with 9 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning