YOUR TEACHER In making a topographical map, it is not practical to measure the heights of structures such as mountains directly. This exercise illustrates how some such measurements are taken. A surveyor whose eye is a = 5 feet above the ground views a mountain peak that is c = 5 horizontal miles distant. Peak Directly in his line of sight is the top of a surveying pole that is 10 horizontal feet distant and b = 7 feet high. How tall is the mountain peak? Note: One mile is 5280 feet, ft

Algebra and Trigonometry (6th Edition)
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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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In making a topographical map, it is not practical to measure the heights of structures such as mountains directly. This exercise illustrates how some such measurements are taken. A surveyor whose eye is \( a = 5 \) feet above the ground views a mountain peak that is \( c = 5 \) horizontal miles distant.

The accompanying diagram shows a mountain with lines indicating measurements. The surveyor stands on level ground, and there are two highlighted right triangles. The first triangle has a base labeled "c = 5 miles" and a diagonal line extending from the surveyor's position to the mountain peak. There is a vertical line from the surveyor's eye to the base.

Directly in his line of sight is the top of a surveying pole that is 10 horizontal feet distant and \( b = 7 \) feet high. How tall is the mountain peak? 

*Note: One mile is 5280 feet.*
Transcribed Image Text:In making a topographical map, it is not practical to measure the heights of structures such as mountains directly. This exercise illustrates how some such measurements are taken. A surveyor whose eye is \( a = 5 \) feet above the ground views a mountain peak that is \( c = 5 \) horizontal miles distant. The accompanying diagram shows a mountain with lines indicating measurements. The surveyor stands on level ground, and there are two highlighted right triangles. The first triangle has a base labeled "c = 5 miles" and a diagonal line extending from the surveyor's position to the mountain peak. There is a vertical line from the surveyor's eye to the base. Directly in his line of sight is the top of a surveying pole that is 10 horizontal feet distant and \( b = 7 \) feet high. How tall is the mountain peak? *Note: One mile is 5280 feet.*
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