8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the angle between the line and the ground changing when 400 ft of line is out? a A cuttor wi

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the angle
between the line and the ground changing when 400 ft of line is out?
9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is
4√108 inches wide by turning up √108 inches on each side. What is the depth of the
gutter for the greatest carrying capacity? Give your answer in exact form(not decimal
form).
10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and
the altitude is 4 ft if the altitude is increasing at 6 inches per min and the radius is constant?
Transcribed Image Text:8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the angle between the line and the ground changing when 400 ft of line is out? 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108 inches wide by turning up √108 inches on each side. What is the depth of the gutter for the greatest carrying capacity? Give your answer in exact form(not decimal form). 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and the altitude is 4 ft if the altitude is increasing at 6 inches per min and the radius is constant?
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