A variation of the subtense bar method that surveyors use to determine larger distances d between two points P and Q is shown in the figure. In this case the subtense bar with length b is placed between the points P and Q so that the bar is centered on and perpendicular to the line of sight connecting P and Q. The angles & and ß are measured from points P and Q, respectively. Find a formula for d involving a, ß, and b and use this formula to determine d if x = 30' 45", B=35' 9", and b = 2.078 cm. P b/2. 13.. B b/2

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A variation of the subtense bar method that surveyors use to determine larger distances d between two points P and Q
is shown in the figure. In this case the subtense bar with length b is placed between the points P and Q so that the bar is
centered on and perpendicular to the line of sight connecting P and Q. The angles a and ß are measured from points P
and Q, respectively. Find a formula for d involving x, ß, and b and use this formula to determine d if α = 30' 45",
ß= 35' 9", and b = 2.078 cm.
P
b/2
Q
α-
B
b/2
Transcribed Image Text:A variation of the subtense bar method that surveyors use to determine larger distances d between two points P and Q is shown in the figure. In this case the subtense bar with length b is placed between the points P and Q so that the bar is centered on and perpendicular to the line of sight connecting P and Q. The angles a and ß are measured from points P and Q, respectively. Find a formula for d involving x, ß, and b and use this formula to determine d if α = 30' 45", ß= 35' 9", and b = 2.078 cm. P b/2 Q α- B b/2
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