Questions on Geometry: Triangles answered by real tutors!

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Question 148654: 6. You are at the sceni overlook at Thatcher Park looking through the panoramic viewer that is looking straight ahead. How far must you rotate the viewer directly downward to see the Egg in Albany, which you know to be 30 miles away. The scenic overlook is two-tenths of a mile high.

Thank you so much!
: 6. You are at the sceni overlook at Thatcher Park looking through the panoramic viewer that is looking straight ahead. How far must you rotate the viewer directly downward to see the Egg in Albany, which you know to be 30 miles away. The scenic overlook is two-tenths of a mile high.

Thank you so much!

Answer by stanbon(18788) About Me  (Show Source):
You can put this solution on YOUR website!
You are at the scenic overlook at Thatcher Park looking through the panoramic viewer that is looking straight ahead. How far must you rotate the viewer directly downward to see the Egg in Albany, which you know to be 30 miles away. The scenic overlook is two-tenths of a mile high.
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Draw the figure.
You have a right triangle with base of 30 miles and altitude of (1/5) mile.
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The angle of depression at the viewer is the complement of tan^-1(30/(1/5))
= 90 - 89.618...
= 0.38197... degrees
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Cheers,
Stan H.