Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first boat is 165 ft from the buoy and is traveling at a rate of 25 ft/sec. The second boat is 110 feet from the buoy and is traveling at a rate of 35 ft/sec. Find the rate of change of the distance between the boats at this moment.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Trigonometric Functions: Right Triangle Approach
Section5.1: Angle Measure
Problem 4E: Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of...
icon
Related questions
Question

Find the rate of change for the distance between two boats?

Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first
boat is 165 ft from the buoy and is traveling at a rate of 25 ft/sec. The second boat is 110 feet
from the buoy and is traveling at a rate of 35 ft/sec. Find the rate of change of the distance
between the boats at this moment.
Transcribed Image Text:Two boats are moving toward a buoy along paths that makes a 90 degree angle. The first boat is 165 ft from the buoy and is traveling at a rate of 25 ft/sec. The second boat is 110 feet from the buoy and is traveling at a rate of 35 ft/sec. Find the rate of change of the distance between the boats at this moment.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,