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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 15 mi/hr. The angle 8 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? 3 hr after the boats leave the port? 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 0. □

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 15 mi/hr. The angle 8 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? 3 hr after the boats leave the port? 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 0. □

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter3: Radian Measure
Section3.5: Velocities
Problem 54PS: Velocity of a Ferris Wheel Use Figure 7 as a model of the Ferris wheel called Colossus that is built...
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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 15 mi/hr. The angle 0 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? 3 hr after the boats leave the port? 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 0. (Type an exact answer. Type any angle measures in radians.) N 15 mi/h 12 mi/h
Transcribed Image Text: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 15 mi/hr. The angle 0 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? 3 hr after the boats leave the port? 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 0. (Type an exact answer. Type any angle measures in radians.) N 15 mi/h 12 mi/h
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