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" From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30° and 60° respectively ; required the height of the column. "
Elementary Trigonometry - Page 51
by James Hamblin Smith - 1877 - 228 pages
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Problems in the Different Branches of Philosophy: Adapted to the Course of ...

Miles Bland - Astronomy - 1830 - 394 pages
...45°. Determine their distance from each other and from the observer. 9. From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane, are found to be 30° and 60° respectively. Determine the height of the column....
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Elements of Plane Trigonometry

William Smyth - Plane trigonometry - 1834 - 94 pages
...40'. What is the distance of the trees A and B. Ans. 7.412 chains. 11. From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30° and 60° respectively; required the height of the column....
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A collection of problems and examples adapted to the 'Elementary course of ...

Harvey Goodwin (bp. of Carlisle.) - Mathematics - 1847 - 136 pages
...first ; shew that the height of the steeple is 12. From the summit of a tower, the height of which is 108 feet, the angles of depression of the top and bottom of a column, standing on the same horizontal plane with the tower, are observed to be 30° and 60° respectively....
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852 - 344 pages
...and 63° 41'. Find the distance of each ship from the fort. 235. From the summit of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column, standing in the horizontal plane, are found to be 30° and 60° respectively. Required the height of the column....
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Elements of Plane Trigonometry: With Its Application to Mensuration of ...

William Smyth - Plane trigonometry - 1852 - 198 pages
...8.4 chains, and the angle ACB 55° 40'. What is the distance of the trees A and B, Ans. 7.412 chains. the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30° and 60° respectively ; required the height of the column....
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Elements of Plane Trigonometry, Surveying and Navigation

William Smyth - Navigation - 1855 - 234 pages
...angle ACB 55° 40'. What is the distance of the trees A and B ? 12. From the top of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column standing in the horizontal plane are found to be 30° and 60° respectively ; required the height of the column....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...sec45° + tan 45°' (2.) tan 2A - tan A= - nl. cos A + cos 3A (3.) From the top of a tower 150 feet high, the angles of depression of the top and bottom of a vertical column standing on the same horizontal plane were observed to be 22° 15' and 46° 30' ; find the height of the column....
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Collection of Examples and Problems in Pure and Mixed Mathematics: With ...

Alfred Wrigley - Mathematics - 1862 - 330 pages
...19' and 63° 41'. Find the distance of each ship from the fort. 14. From the summit of a tower, whose height is 108 feet, the angles of depression of the top and bottom of a vertical column, standing in the horizontal plane, are found to be 30' and 60° respectively. Required the height of the column....
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Problems and Examples

Harvey Goodwin - 1862 - 174 pages
...first ; shew that the height of the steeple is 12. From the summit of a tower, the height of which is 108 feet, the angles of depression of the top and bottom of a column, standing on the same horizontal plane with the tower, are observed to be 30° and 60° respectively....
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pages
...side of a plane triangle ; show how to solve the triangle. 8. From the top of a tower 150 feet high, the angles of depression of the top and bottom of a vertical column, standing on the same horizontal plane, were observed 22° Iff and 44° 30': find the height of the column. 9. A...
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