An airplane flies at an altitude of y = 10 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates at which the angle of elevation e is changing when the angle is e = 30°, e = 60°, and e = 80°. Net drown to soale (а) @ 30° rad/min (b) e- 60° rad/min (c) e = 80° (Round your answer to two decimal places.) rad/min
An airplane flies at an altitude of y = 10 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates at which the angle of elevation e is changing when the angle is e = 30°, e = 60°, and e = 80°. Net drown to soale (а) @ 30° rad/min (b) e- 60° rad/min (c) e = 80° (Round your answer to two decimal places.) rad/min
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 48E
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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.
Question
An airplane flies at an altitude of y=10 miles toward a point directly over an observer. The speed of the Plane is 500 miles per hour. Find the rates at which the angle is theta= 30deg, 60 deg, and 80 deg.
Transcribed Image Text:An airplane flies at an altitude of y = 10 miles toward a point directly over an observer (see figure). The speed of the plane is 500 miles per hour. Find the rates at which the angle of elevation e is changing when the angle is e = 30°, e = 60°, and e = 80°.
у mi
Not drawn to scale
(a)
e = 30°
rad/min
(b)
e = 60°
rad/min
(c)
e = 80° (Round your answer to two decimal places.)
rad/min
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