A boat leaves a port traveling due east at 12 mi/hr. At the same time, another boat leaves the same port traveling northeast at 13 mi/hr. The angle θ of the line between the boats is measured relative to due north (see the figure to the right). What is the rate of change of this angle 30 min after the boats leave the port? 2hr after the boats leave the port? Let x be the distance from the port to the eastbound boat and let z be the distance from the port to the northeast bound boat. Write an equation relating x, z, and θ.
A boat leaves a port traveling due east at 12 mi/hr. At the same time, another boat leaves the same port traveling northeast at 13 mi/hr. The angle θ of the line between the boats is measured relative to due north (see the figure to the right). What is the rate of change of this angle 30 min after the boats leave the port? 2hr after the boats leave the port? Let x be the distance from the port to the eastbound boat and let z be the distance from the port to the northeast bound boat. Write an equation relating x, z, and θ.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
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A boat leaves a port traveling due east at
12 mi/hr. At the same time, another boat leaves the same port traveling northeast at 13 mi/hr. The angle θ of the line between the boats is measured relative to due north (see the figure to the right). What is the rate of change of this angle 30 min after the boats leave the port? 2hr after the boats leave the port?
Let x be the distance from the port to the eastbound boat and let z be the distance from the port to the northeast bound boat. Write an equation relating x, z, and
θ.
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