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" Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct... "
Elements of Plane and Spherical Trigonometry - Page 69
by Olinthus Gregory - 1816 - 244 pages
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801 - 658 pages
...horizontal plane, and wanting to know the height of an object on the top of an inaccessible hill j I took the angle of elevation of the top of the hill equal 40", and of the top of the object equal 51° ; then, going in a direct line from it to the distance...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 464 pages
...Being at the station A, on an horizontal plane, and wanting to know the height of a tower c D, placed on the top of an inaccessible hill, I took the angle of elevation DAE, of the top of the hill, equal to 4O°, and of the top of the tower c AE equal to 51° ; then,...
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Mathematics: Compiled from the Best Authors, and Intended to be ..., Volume 2

Samuel Webber - Mathematics - 1808 - 520 pages
...inaccessible elevation. EXAMPLE. Being upon a horizontal plane, and wanting to know the height of an object on the top of an inaccessible hill ; I took the angle of elevation of the top of the hill equal 4O°, and of the top of the object equal 51° ; then, going in a direct line from it to the distance...
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Elements of Surveying

Charles Davies - Surveying - 1830 - 390 pages
...CB=672, and also, the contained angle ACB=55° 40'. Required the distance AB. Ans. 593.8. Example 3. — Being on a horizontal plane, and wanting to ascertain...tower, standing on the top of an inaccessible hill, there were measured the angle of elevation of the top of the hill 40°, and of the top of the tower...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 632 pages
...distance 192-15 Exam. xiv. Reing on a horizontal plane, and wanting to know the height of a tower placed on the top of an inaccessible hill ; I took the angle...elevation of the top of the hill 40", and of the top of ib.3 tower 51° ; the measuring in a line direcily from it to the distance of 200 feet farther, I found...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - Mathematics - 1834 - 472 pages
...с в D, by means of the relation between sides and the sines of their opposite angles. EXAMPLE VI. Being on a horizontal plane, and wanting to ascertain...tower standing on the top of an inaccessible hill, I :ook the angle of elevation of the top of the hill 40°, and of the top of the tower 51°, then measuring...
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Mathematical and Astronomical Tables: For the Use of Students in Mathematics ...

William Galbraith - Astronomy - 1834 - 454 pages
...the tower ? Ans — 46.666 feet. EXAMPLE XIV. In order to know the height of a castle standing on a hill, I took the angle of elevation of the top of the castle above the horizontal plane 58°, and of the top of the hill 33° ; but could not, as in last...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...=672 feet, and also the contained angle ACB=55° 40': required the distance AB. Ans. 592.967 feet. 6. Being on a horizontal plane, and wanting to ascertain...tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower...
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - Navigation - 1837 - 342 pages
...ACE: it was found that = 6l-2 yards C^3=588 yaida required the distance AB. Ans. 592.967 yards. 3. Being on a horizontal plane, and wanting to ascertain...tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower...
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...HEIGHTS AND DISTANCES. CZ? = 672 yards CA—588 yards required the distance AB. Ana. 599.967 yards. 3. Being on a horizontal plane, and wanting to ascertain...tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower...
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