A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let 0 be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle (see figure). Write 0 as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find de / dt in terms of s and ds / dt. de / dt = ds / dt 750 m

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let 0 be the angle of elevation of the shuttle and let s be the
distance between the camera and the shuttle (see figure). Write 0 as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find d0 / dt
in terms of s and ds / dt.
d0 / dt =
ds / dt
-10
-750 m
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Transcribed Image Text:A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters from the launch pad. Let 0 be the angle of elevation of the shuttle and let s be the distance between the camera and the shuttle (see figure). Write 0 as a function of s for the period of time when the shuttle is moving vertically. Differentiate the result to find d0 / dt in terms of s and ds / dt. d0 / dt = ds / dt -10 -750 m Need Help? Read It
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