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" From the top of a cliff 150 ft. high the angles of depression of the top and bottom of a tower are 30° and 60°, respectively. "
Plane Trigonometry - Page 42
by Sidney Luxton Loney - 1893 - 480 pages
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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° ;...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 pages
...rock, having given Log tan 18° = 9.51 17760, log 1.5388 = .1871940. 8. At the top of a tower, 108 feet high, the angles of depression of the top and bottom of an upright column, standing on the same horizontal plane with the tower, were found to be 30° and...
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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' ; find...
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A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - Examinations - 1859 - 352 pages
...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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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 the...
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A collection of elementary test questions in pure and mixed mathematics ...

James Robert Christie - Mathematics - 1866 - 428 pages
...find it subtends an angle of 72° 18' 30"; find its diameter. 827. Prom the top of a tower 113-786 feet high the angles of depression of the top and bottom of a column standing on the same horizontal plane as the tower were found to be, 32° 15' 20" and 68° 54'...
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Elements of Plane and Spherical Trigonometry with Logarithmic and ..., Volume 1

Simon Newcomb - Logarithms - 1882 - 188 pages
...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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Introduction to Plane Trigonometry

Thomas Grenfell Vyvyan - 1882 - 150 pages
...Shew that the height of the flagstaff is i - ' --„ feet. ' 16. From the top of a cliff 100 yards high, the angles of depression of the top and bottom of a vertical river-bank opposite are 38° 39' 36" and 51° W 24". Find the breadth of the river, and the...
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Elements of Trigonometry with Logarithmic and Other Tables

Henry Hunt Ludlow - Logarithms - 1891 - 322 pages
...difference in longitude, determine the required distance. 11. From a point 108 ft. above a horizontal plane the angles of depression of the top and bottom of a tower standing on the plane are 30° and 60°, respectively. Find the height of the tower. Ant. ^л ft 12....
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Annual Report of the Secretary of War

United States. War Department - 1896 - 1256 pages
...to be determined. [Weight, 2.] 2. Trigonometry. — From a point 108 feet above a horizontal plane the angles of depression of the top and bottom of a tower standing on the plane are 30° and 60°, respectively. Hud the height of the tower. [Weight, 3.] 3....
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