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You stand on one side of a valley with steep cliff walls. In the valley bottom is a castle. Using an Abney level you measure the angle of descent from you to the castle You know that: • The cliff wall is 100 meters high. • The castle is 45 meters high. • The straight line from you to the castle is 10° below horizontal. What is the distance form the bottom of the cliff to the castle? The figure below serves as a guide. You might start by extending some lines to see some right triangles appearing. cliff wall 100 m 10° Horizontal distance ??? flat valley floor castle 45 m

You stand on one side of a valley with steep cliff walls. In the valley bottom is a castle. Using an Abney level you measure the angle of descent from you to the castle You know that: • The cliff wall is 100 meters high. • The castle is 45 meters high. • The straight line from you to the castle is 10° below horizontal. What is the distance form the bottom of the cliff to the castle? The figure below serves as a guide. You might start by extending some lines to see some right triangles appearing. cliff wall 100 m 10° Horizontal distance ??? flat valley floor castle 45 m

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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You stand on one side of a valley with steep cliff walls. In the valley bottom is a castle. Using an Abney level you measure the angle of descent from you to the castle You know that: • The cliff wall is 100 meters high. • The castle is 45 meters high. • The straight line from you to the castle is 10° below horizontal. What is the distance form the bottom of the cliff to the castle? The figure below serves as a guide. You might start by extending some lines to see some right triangles appearing. cliff wall 100 m 10° Horizontal distance = ??? flat valley floor castle 45 m
Transcribed Image Text:You stand on one side of a valley with steep cliff walls. In the valley bottom is a castle. Using an Abney level you measure the angle of descent from you to the castle You know that: • The cliff wall is 100 meters high. • The castle is 45 meters high. • The straight line from you to the castle is 10° below horizontal. What is the distance form the bottom of the cliff to the castle? The figure below serves as a guide. You might start by extending some lines to see some right triangles appearing. cliff wall 100 m 10° Horizontal distance = ??? flat valley floor castle 45 m
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