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?
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.1: The Geometry Of Lines
Problem 1TU: Suppose that the peak of the roof occurs 20 rather than 14 horizontal feet toward the interior 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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