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)

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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Question

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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