Before the widespread introduction of electronic devices to measure distance, surveyors used a subtense bar to measure a distance z that is not directly measurable. A subtense bar is a bar of known length h with marks or "targets" at either end. The surveyor measures the angle 0 formed by the location of the surveyor's scope and the top and bottom of the bar (this is the angle subtended by the bar). Since the angle and height of the bar are known, right triangle trigonometry can be used to find this horizontal distance. Alternatively, if the distance from the surveyor to the bar is large, then the distance can be approximated by the radiusrof the arc s intercepted by the bar. Surveyor ..... s=h Subtense bar A surveyor uses a subtense bar to find the distance across a river. If the angle of sight between the bottom and top marks on a 2 m bar is 45'28 ", approximate the distance across the river between the surveyor and the bar. Round to the nearest meter.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter9: Real Numbers And Right Triangles
Section9.7: The Tangent Ration
Problem 29E
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Solve the problem.
Before the widespread introduction of electronic devices to measure distance, surveyors used a subtense bar to measure a distance x that is not
directly measurable. A subtense bar is a bar of known length h with marks or "targets" at either end. The surveyor measures the angle 0 formed by
the location of the surveyor's scope and the top and bottom of the bar (this is the angle subtended by the bar). Since the angle and height of the bar
are known, right triangle trigonometry can be used to find this horizontal distance. Alternatively, if the distance from the surveyor to the bar is large,
then the distance can be approximated by the radius r of the arc s intercepted by the bar.
Surveyor -
Subtense bar
A surveyor uses a subtense bar to find the distance across a river. If the angle of sight between the bottom and top marks on a 2 m bar is 45'28 ",
approximate the distance across the river between the surveyor and the bar. Round to the nearest meter.
Select one:
О а. 302 т
ОБ. 76 т
О с. 151 т
O d. 605 m
Transcribed Image Text:Solve the problem. Before the widespread introduction of electronic devices to measure distance, surveyors used a subtense bar to measure a distance x that is not directly measurable. A subtense bar is a bar of known length h with marks or "targets" at either end. The surveyor measures the angle 0 formed by the location of the surveyor's scope and the top and bottom of the bar (this is the angle subtended by the bar). Since the angle and height of the bar are known, right triangle trigonometry can be used to find this horizontal distance. Alternatively, if the distance from the surveyor to the bar is large, then the distance can be approximated by the radius r of the arc s intercepted by the bar. Surveyor - Subtense bar A surveyor uses a subtense bar to find the distance across a river. If the angle of sight between the bottom and top marks on a 2 m bar is 45'28 ", approximate the distance across the river between the surveyor and the bar. Round to the nearest meter. Select one: О а. 302 т ОБ. 76 т О с. 151 т O d. 605 m
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning