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" A pole is fixed on the top of a mound, and the angles of elevation of the top and the bottom of the pole are 60° and 30° respectively. "
Plane and Spherical Trigonometry - Pàgina 142
per James Morford Taylor - 1905 - 234 pàgines
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pàgines
...perpendicular dropped from the angle с upon the opposite side of a triangle, show that sin с=C- • ab 13. A pole is fixed on the top of a mound, and the angles of elevation of the bottom and top of the pole are 30° and 60° respectively; prove that the height of the pole=twice...
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Plane trigonometry and logarithms

John Walmsley - 1865 - 232 pàgines
...from a point 30 feet directly above the former point ; find the height and distance of the steeple. 6. A pole is fixed on the top of a mound, and the angles of elevation of the bottom and top of the pole are 30° and 60° respectively ; prove that the height of the pole is twice...
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Elementary Trigonometry

James Hamblin Smith - 1877 - 244 pàgines
...same angle as a man 6 feet high standing at the base of the column. Find the breadth of the river. (7) A pole is fixed on the top of a mound and the angles of elevation of the top and bottom of the pole are 60° and 30°, shew that the length of the pole is twice the height of the mound....
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth - 1887 - 346 pàgines
...Show that the height of the tower is a ; the tangent of 18° being V5-1 V(2 + 2V5) V(1Q + 2 V5) 25. A pole is fixed on the top of a mound, and the angles...top and the bottom of the pole are 60° and 30°. Prove that the length of the pole is twice the height of the mound. 26. At a distance (a) from the...
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Plane and Spherical Trigonometry

George Albert Wentworth - 1887 - 372 pàgines
...the the elevation is 18°. Show that the height of the tower is a ; the tangent of 18° being " 25. A pole is fixed on the top of a mound, and the angles...top and the bottom of the pole are 60° and 30°. Prove that the length of the pole is twice the height of the mound. 26. At a distance (a) from the...
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Plane Trigonometry

George Albert Wentworth - 1887 - 206 pàgines
...the height of the tower is — — ; the tangent of 18° being — ~ — • V(2+2V5) V(1Q + 2V5) 25. A pole is fixed on the top of a mound, and the angles...elevation of the top and the bottom of the pole are 00° and 30°. Prove that the length of the pole is twice the height of the mound. 26. At a distance...
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Plane and Spherical Trigonometry: By G.A. Wentworth

George Albert Wentworth - 1888 - 186 pàgines
...elevation is 18°. Show that the height of the tower is -, the tangent of 18° being V> ' ' V(2+2V5) 25. A pole is fixed on the top of a mound, and the angles...top and the bottom of the pole are 60° and 30°. Prove that the length of the pole is twice the height of the mound. 26. At a distance (a) from the...
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Elementary Trigonometry

John Maximilian Dyer - 1891 - 306 pàgines
...Prove that in any triangle ABC ,, . , , a sin В (1) tan A = -^—~ -- =. sin С — a cos В . A (35) A pole is fixed on the top of a mound, and the angles of elevation of the top and bottom of the pole are 60° and 3ÍT. Show that the length of the pole is twice the height of the mound....
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Trigonometry, Surveying and Navigation

George Albert Wentworth - 1895 - 436 pàgines
...is 18°. Show that the height of the tower is „ л/г; 1 == ; the tangent of 18° being — -= 25. A pole is fixed on the top of a mound, and the angles...of elevation of the top and the bottom of the pole arc GO0 and 30° respectively. Prove that the length of the pole is twice the height of the mound....
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Plane Trigonometry and Tables

George Albert Wentworth - 1896 - 272 pàgines
...it, the elevation is 18°. Show that the height of the tower is - ; the tangent of 18° being ' 25. A pole is fixed on the top of a mound, and the angles...length of the pole is twice the height of the mound. 26. At a distance (a) from the foot of a tower, the angle of elevation (A) of the top of the tower...
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