9 Length of a tunnel A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of eleva- tion is 36° (see the figure). From a distance of 150 feet on the other side, the angle of elevation is 47°. Approximate the length of the tunnel to the nearest foot. Exercise 69 36° 47% -200'- -150'-

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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9 Length of a tunnel A tunnel for a new highway is to be cut
through a mountain that is 260 feet high. At a distance of
200 feet from the base of the mountain, the angle of eleva-
tion is 36° (see the figure). From a distance of 150 feet on
the other side, the angle of elevation is 47°. Approximate the
length of the tunnel to the nearest foot.
Exercise 69
36°
47%
-200'-
-150'-
Transcribed Image Text:9 Length of a tunnel A tunnel for a new highway is to be cut through a mountain that is 260 feet high. At a distance of 200 feet from the base of the mountain, the angle of eleva- tion is 36° (see the figure). From a distance of 150 feet on the other side, the angle of elevation is 47°. Approximate the length of the tunnel to the nearest foot. Exercise 69 36° 47% -200'- -150'-
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