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" At the top of a tower, 108 feet high, the angles of depression of the top and bottom of... "
Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ... - Page 102
by John William Colenso (bp. of Natal.) - 1851
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Principles of geometry, mensuration, trigonometry, land-surveying, and ...

Thomas Tate (mathematical master.) - 1848 - 284 pages
...SB — therefore by Art. 51. Geo., cota; 2a2 COt2P + COt2B — 2 C0t2o' 18. At the top of a tower a feet high, the angles of depression of the top and bottom of an upright column, standing on the same level plane as the tower, were found to be 30° and 60° ; required the height of the column. Ans....
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 356 pages
...E. After sailing NW for 5 miles, A bore due E., and B due NE Find the distance between A and B. 14. At the top of a tower 108 feet high, -the angles of depression of the top and bottom of another tower (standing on the same horizontal plane) were found to be 30° and 60° ; find its height....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...300 = 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' ;...
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pages
...angles and a 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...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - Mathematics - 1866 - 426 pages
...length : viz. 9T> 32' 10"; DAB = 53° 57' 20"; CBA = 32° 2' 10", and 809. From the top of a cliff 108 feet high, the angles of depression of the top and bottom of a cliff which forms the opposite bank of a river are observed to be 30° and 60° respectively ; find...
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Elements of Plane and Spherical Trigonometry with Logarithmic and ..., Volume 1

Simon Newcomb - Logarithms - 1882 - 188 pages
...the general expression for the length of the base in terms of altitude and angles at base. 9. From the top of a tower 108 feet high the angles of depression of the top and bottom of another tower standing on the same horizontal plane are found to be 28° 56' and 53° 41' respectively....
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Plane Trigonometry

Sidney Luxton Loney - Plane trigonometry - 1893 - 534 pages
...that both of the required distances are equal to 236-6... feet. Ex. 3. From the top of a cliff, 200 feet high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° ; find the height of the tower. Let A be the point of observation...
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Elementary Practical Mathematics

Frank Castle - Mathematics - 1899 - 424 pages
...base of 100 yards measured from its foot, is 30° ; find its height. 4. 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 44 30';...
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Elementary Trigonometry

William Ernst Paterson - Logarithms - 1911 - 262 pages
...angles of elevation to be 15° and 65° 30' at the same moment. Find the height of the balloon. 10. From the top of a tower, 108 feet high, the angles of depression of the top and bottom of a vertical column are found to be 30° and 60° respectively. What is the height of the column ? 11....
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the ...

280 pages
...that both of the required distances are equal to 236-6... feet. Ex. 3. From the top of a cliff, 200 feet high, the angles of depression of the top and bottom of a tower are observed to be 30° and 60° ; find the height of the tower. Let A be the point of observation,...
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