A shoreline observation post is located on a cliff such that the observer is 290 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). 6. Angle of depression| a. When the observer initially spots the ship, the angle of depression for the observer's vision is 6 degrees. At this point in time, how far is the ship from the shore? feet Preview b. After watching the ship for 46 seconds, the angle of depression for the observer's vision is 13 degrees. At this point in time, how far is the ship from the shore? feet

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 86E
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A shoreline observation post is located on a cliff
such that the observer is 290 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 6 degrees. At this point in time,
how far is the ship from the shore?
feet
Preview
b. After watching the ship for 46 seconds, the
angle of depression for the observer's
vision is 13 degrees. At this point in time,
how far is the ship from the shore?
feet
Preview
Transcribed Image Text:A shoreline observation post is located on a cliff such that the observer is 290 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 6 degrees. At this point in time, how far is the ship from the shore? feet Preview b. After watching the ship for 46 seconds, the angle of depression for the observer's vision is 13 degrees. At this point in time, how far is the ship from the shore? feet Preview
a. When the observer initially spots the ship,
the angle of depression for the observer's
vision is 6 degrees. At this point in time,
how far is the ship from the shore?
feet
Preview
b. After watching the ship for 46 seconds, the
angle of depression for the observer's
vision is 13 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)? Note: Velocity has direction, but
speed is the absolute value of velocity and
so speed is non-negative.
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?
sec
Preview
Transcribed Image Text:a. When the observer initially spots the ship, the angle of depression for the observer's vision is 6 degrees. At this point in time, how far is the ship from the shore? feet Preview b. After watching the ship for 46 seconds, the angle of depression for the observer's vision is 13 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)? Note: Velocity has direction, but speed is the absolute value of velocity and so speed is non-negative. 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? sec Preview
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