A shoreline observation post is located on a cliff such that the observer is 270 feet above sea level. The observer spots a ship approaching the shore and the ship is traveling at a constant speed. To input your angle measures in degrees, use the functions sind (5), cosd (5) and tand (5), instead of sin (5), cos (5) and tan (5). Angle of depression a. When the observer initially spots the ship, the angle of depression for the observer's vision is 7 degrees. At this point in time, how far is the ship from the shore? feet Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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A shoreline observation post is located on a cliff such that the observer is 270 feet above sea level. The observer spots a ship approaching the
shore and the ship is traveling at a constant speed.
To input your angle measures in degrees, use the functions sind (5), cosd (5) and tand (5), instead of sin (5), cos (5) and tan (5).
Angle of depression
a. When the observer initially spots the ship, the angle of depression for the observer's vision is 7 degrees. At this point in time, how far is
the ship from the shore?
feet Preview
b. After watching the ship for 55 seconds, the angle of depression for the observer's vision is 16 degrees. At this point in time, how far is the
ship from the shore?
feet
Preview
c. What is the ship's constant speed (in ft/sec)?
ft/sec Preview
d. If the ship continues traveling at this constant speed, how many seconds after the observer initially spotted the ship will the ship crash into
the shore?
Preview
sec
Transcribed Image Text:A shoreline observation post is located on a cliff such that the observer is 270 feet above sea level. The observer spots a ship approaching the shore and the ship is traveling at a constant speed. To input your angle measures in degrees, use the functions sind (5), cosd (5) and tand (5), instead of sin (5), cos (5) and tan (5). Angle of depression a. When the observer initially spots the ship, the angle of depression for the observer's vision is 7 degrees. At this point in time, how far is the ship from the shore? feet Preview b. After watching the ship for 55 seconds, the angle of depression for the observer's vision is 16 degrees. At this point in time, how far is the ship from the shore? feet Preview c. What is the ship's constant speed (in ft/sec)? ft/sec Preview d. If the ship continues traveling at this constant speed, how many seconds after the observer initially spotted the ship will the ship crash into the shore? Preview sec
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