A basic highway curve connecting two straight sections of road is often circular. In the figure, the points P and S mark the beginning and end of the curve. Let Q be the point of intersection where the two straight sections of highway leading into the curve would meet if extended. The radius of the curve is R, and the central angle denotes how many degrees the curve tums. *** If R=958 ft and 0=40°, find the distance d between P and Q. The distance between P and Q, denoted as d, is 348.7 ft. (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) Choose an expression in terms of R and 0 for the distance between M and N below. A. B. R 99/199 OC. D. R sin COS V R R(1-cos) R sin

Elementary Geometry for College Students
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Author:Daniel C. Alexander, Geralyn M. Koeberlein
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Chapter10: Analytic Geometry
Section10.CT: Test
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A basic highway curve connecting two straight sections of
road is often circular. In the figure, the points P and S mark
the beginning and end of the curve. Let Q be the point of
intersection where the two straight sections of highway
leading into the curve would meet if extended. The radius
of the curve is R, and the central angle denotes how many
degrees the curve tums.
***
If R=958 ft and 0=40°, find the distance d between P and Q.
The distance between P and Q, denoted as d, is 348.7 ft.
(Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.)
Choose an expression in terms of R and 0 for the distance between M and N below.
A.
B.
R
99/199
OC.
D.
R
sin
COS
V
R
R(1- cos
R
sin
Transcribed Image Text:A basic highway curve connecting two straight sections of road is often circular. In the figure, the points P and S mark the beginning and end of the curve. Let Q be the point of intersection where the two straight sections of highway leading into the curve would meet if extended. The radius of the curve is R, and the central angle denotes how many degrees the curve tums. *** If R=958 ft and 0=40°, find the distance d between P and Q. The distance between P and Q, denoted as d, is 348.7 ft. (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) Choose an expression in terms of R and 0 for the distance between M and N below. A. B. R 99/199 OC. D. R sin COS V R R(1- cos R sin
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