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" AC and the angles. 9. From the top of a mountain, three miles high, the angle of depression of a line tangent to the earth's surface is taken, and found to be 2° 13 "
Elements of Trigonometry: Plane and Spherical - Page 62
by Edward Olney - 1885 - 201 pages
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 286 pages
...0.5320445 Hence the three distances are DA= 301.01, DC = 629.101, DB^= 719 • 522. PROBLEM V. Suppose that from the top of a mountain, three miles high, the angle of depression of the remotest visible point of the earth's surface is taken and found to be 2° 13' 27'; it is required...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

John Radford Young - Astronomy - 1833 - 308 pages
...from the top of a mountain, three miles high, the angle of depression of the remotest visible point of the earth's surface is taken and found to be 2° 13' 27" ; it is required thence to determine the diameter of the earth, supposing it to be a perfect sphere....
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 338 pages
...34° 6' = 677051 difference = .843375 ... .8433752 : 1 : : 100 : 118.57 PROBLEM VII. I gupppse that from, the top of a mountain, three miles high, the angle of depression of the remotest visible point of the earth's surface is taken and found to be 2° 13' 27" ; it is required...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...radius, is at once obtained from the precept (14), and is SA x tan BSA = 289-125 = AB. 3. Suppose that from the top of a mountain, three miles high, the angle of depression EAC of the remotest visible point of the earth-s surface is taken, and found to be 2° 13' 27" ; it...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...from the top of a mountain, three miles high, the angle of depression of the remotest visible point of the earth's surface is taken and found to be 2° 13' 27" ; it is required thence to determine the diameter of the earth, supposing it to be a perfect sphere....
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...1-590426 nat. tan 34<= 6' = -677091 difference = -843335 •843335: 1 : : 100 : 118-57 Ant. PROBLEM II. From the top of a mountain three miles high, the angle...earth's surface is taken, and found to be 2° 13' 27" ; it ia required thence to determine the diameter of the earth, supposing it to be a perfect sphere....
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 536 pages
...1*590426 nat. tan 34o 6' = .677091 difference = .843335 ... .842335 : 1 : : 100 : 118.57 Ans. PROBLEM II. From the top of a mountain three miles high, the angle...tangent to the earth's surface is taken, and found to be 2o 13' 27" ; it is required thence to determine the diameter of the earth, supposing it to be a perfect...
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A Compendious Course of Mathematics, theoretical and practical

John Radford Young - 1855 - 218 pages
....4'5=57-24 1-75768 .'. ^'=184-79-57 -24 = 127 -55 Hence the required distance is 127 -55 feet. (3) From the top of a mountain three miles high, the angle of depression EA C of the remotest visible point of the surface of the sea was taken, and found to be 2° 13' 27"...
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Elements of Trigonometry, Plane and Spherical

Edward Olney - Trigonometry - 1872 - 216 pages
...ACD can be found. Thus we reach the triangle ACP , in which there are now known AC and the angles. 9. From the top of a mountain, three miles high, the...diameter of the earth, considered as a sphere ? Ans., 7958.3 miles. 10. Taking the sun's mean apparent diameter as 32' 3".4, and his distance from the earth...
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...ACD can be found. Thus we reach the triangle ACP , in which there are now known AC and the angles. 9. From the top of a mountain, three miles high, the...diameter of the earth, considered as a sphere ? Ans., 7958.3 miles. 10. Taking the sun's mean apparent diameter as 32' 3".4, and his distance from the earth...
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