shoreline observation post is located on a cliff such that the observer is 407 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 3.4 ∘.  How far out to sea was the ship when it was first spotted? After watching the ship for 34 seconds, the angel of depression was 36.5∘. Assuming the ship was moving at a constant rate, estimate the ship’s velocity. If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
Problem 25E: Considering that the consecutive dials on the electric meter rotate in opposite directions, what is...
icon
Related questions
Question

A shoreline observation post is located on a cliff such that the observer is 407 feet above sea level. When initially spotted, the angle of depression (the angle at which an observer needs to look down) from the observation post to an approaching ship was 3.4 ∘.

 How far out to sea was the ship when it was first spotted?

After watching the ship for 34 seconds, the angel of depression was 36.5∘. Assuming the ship was moving at a constant rate, estimate the ship’s velocity.

If the ship were to continue on its course at the same velocity, how much time from the second reading will elapse before the ship crashes into the shore? 

Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill