A surveyor wants to know the length of a tunnel built through a mountain. According to her equipment, she is located 54 meters from one entrance of the tunnel, at an angle of 56° to the perpendicular. Also according to her equipment, she is 31 meters from the other entrance of the tunnel, at an angle of 13° to the perpendicular. Based on these measurements, find the length of the entire tunnel.
A surveyor wants to know the length of a tunnel built through a mountain. According to her equipment, she is located 54 meters from one entrance of the tunnel, at an angle of 56° to the perpendicular. Also according to her equipment, she is 31 meters from the other entrance of the tunnel, at an angle of 13° to the perpendicular. Based on these measurements, find the length of the entire tunnel.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 26E: Considering that the consecutive dials on the natural gas meter rotate in opposite directions, what...
Related questions
Concept explainers
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
Transcribed Image Text:A surveyor wants to know the length of a tunnel built through a mountain. According to her equipment, she is located 54 meters from one entrance of the
tunnel, at an angle of 56° to the perpendicular. Also according to her equipment, she is 31 meters from the other entrance of the tunnel, at an angle of 13° to
the perpendicular. Based on these measurements, find the length of the entire tunnel.
Do not round any intermediate computations. Round your answer to the nearest tenth.
Note that the figure below is not drawn to scale.
I meters
56° 13°
31 meters
54 meters
I Don't Know
Submit
O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use| Privacy I
P Type here to search
(?
brt se
oelete
hone
4+
144
&
7
%23
60
8.
backspace
Y.
H.
J.
pause
V.
HP Laptop
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL