Surveying a bluff A surveyor, using a transit, sights the edge B of a bluff, as shown in the left part of the figure (not drawn to scale). Because of the curvature of Earth, the true elevation h of the bluff is larger than that measured by the surveyor. A cross-sectional schematic view of Earth is shown in the right part of the figure. (a) If s is the length of arc PQ and R is the distance from P to the center C of Earth, express h in terms of R and s. (b) If R = 4000 mi and s = 50 mi, estimate the elevation of the bluff in feet. Exercise 77 B B p Line of sight P h P IR R °C

Trigonometry (MindTap Course List)
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Chapter2: Right Triangle Trigonometry
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Surveying a bluff A surveyor, using a transit, sights the
edge B of a bluff, as shown in the left part of the figure (not
drawn to scale). Because of the curvature of Earth, the true
elevation h of the bluff is larger than that measured by the
surveyor. A cross-sectional schematic view of Earth is
shown in the right part of the figure.
(a) If s is the length of arc PQ and R is the distance from P
to the center C of Earth, express h in terms of R and s.
(b) If R = 4000 mi and s = 50 mi, estimate the elevation
of the bluff in feet.
Exercise 77
B
B
p Line of sight
P
h
P
IR
R
°C
Transcribed Image Text:Surveying a bluff A surveyor, using a transit, sights the edge B of a bluff, as shown in the left part of the figure (not drawn to scale). Because of the curvature of Earth, the true elevation h of the bluff is larger than that measured by the surveyor. A cross-sectional schematic view of Earth is shown in the right part of the figure. (a) If s is the length of arc PQ and R is the distance from P to the center C of Earth, express h in terms of R and s. (b) If R = 4000 mi and s = 50 mi, estimate the elevation of the bluff in feet. Exercise 77 B B p Line of sight P h P IR R °C
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