6. The hypotenuse of a right triangle is increasing at a constant rate of 3 ft per second and one leg (first leg) is decreasing at a constant rate of 2 ft per second. How fast is the acute angle between the hypotenuse and the second leg is changing if the first and second legs are 10 ft and 24 ft, respectively? Is the angle increasing or decreasing?
6. The hypotenuse of a right triangle is increasing at a constant rate of 3 ft per second and one leg (first leg) is decreasing at a constant rate of 2 ft per second. How fast is the acute angle between the hypotenuse and the second leg is changing if the first and second legs are 10 ft and 24 ft, respectively? Is the angle increasing or decreasing?
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...
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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![6. The hypotenuse of a right triangle is increasing at a constant rate of 3 ft per
second and one leg (first leg) is decreasing at a constant rate of 2 ft per second.
How fast is the acute angle between the hypotenuse and the second leg is
changing if the first and second legs are 10 ft and 24 ft, respectively? Is the angle
increasing or decreasing?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4acad709-c481-494e-b3b1-268e82121b01%2F2c995aed-be25-4ae1-a3e0-5ee12111406b%2Fugvfie_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. The hypotenuse of a right triangle is increasing at a constant rate of 3 ft per
second and one leg (first leg) is decreasing at a constant rate of 2 ft per second.
How fast is the acute angle between the hypotenuse and the second leg is
changing if the first and second legs are 10 ft and 24 ft, respectively? Is the angle
increasing or decreasing?
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