A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean. (a) If it takes the sound 2.18 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343 m/s. m/s (b) What is its altitude?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
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A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time
the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean.
(a) If it takes the sound 2.18 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343 m/s.
m/s
(b) What is its altitude?
m
Transcribed Image Text:A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean. (a) If it takes the sound 2.18 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343 m/s. m/s (b) What is its altitude? m
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