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 a, ß, and b and use this formula to determine d if a = 32' 48", B = 40' 3", and b= 1.804 cm. Choose the correct formula for d below. O A. b d=5 cos cos 2 O B. b d = sin b sin 2 OC. b b/12 d= 2 b tan tan 2 2 b/2 D. d=ž cot b b cot The distance beween P and Q, denoted by d, is cm. (Type an integer or a decimal rounded to the nearest tenth as needed.) +

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.4: Some Constructions And Inequalities For The Circle
Problem 39E: In O, chord AB chord CD. Radius OE is perpendicular to AB and CD at points M and N, respectively. If...
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Kindly explain how to compute the distance between P and Q

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 a, ß, and b and use this formula to determine d if
a = 32' 48", B = 40' 3", and b= 1.804 cm.
Choose the correct formula for d below.
O A.
b
d=5 cos
cos
2
O B.
b
d =
sin
b
sin
2
OC.
b
b/12
d= 2
b
tan
tan
2
2
b/2
D.
d=ž cot
b
b
cot
The distance beween P and Q, denoted by d, is
cm.
(Type an integer or a decimal rounded to the nearest tenth as needed.)
+
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 a, ß, and b and use this formula to determine d if a = 32' 48", B = 40' 3", and b= 1.804 cm. Choose the correct formula for d below. O A. b d=5 cos cos 2 O B. b d = sin b sin 2 OC. b b/12 d= 2 b tan tan 2 2 b/2 D. d=ž cot b b cot The distance beween P and Q, denoted by d, is cm. (Type an integer or a decimal rounded to the nearest tenth as needed.) +
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