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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. Prove that the length of the pole is twice the height of the mound. "
Plane Trigonometry, Surveying and Tables - Σελίδα 87
των George Albert Wentworth - 1896 - 307 σελίδες
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...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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...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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...18°. 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...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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George Albert Wentworth - 1887 - 372 σελίδες
...it, 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...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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George Albert Wentworth - 1887 - 206 σελίδες
...that 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...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...

Plane and Spherical Trigonometry: By G.A. Wentworth

George Albert Wentworth - 1888 - 186 σελίδες
...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...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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John Maximilian Dyer - 1891 - 306 σελίδες
...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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George Albert Wentworth - 1895 - 436 σελίδες
...elevation 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...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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George Albert Wentworth - 1896 - 394 σελίδες
...30° 10 + 2V5 and ¡ — 2V5 _(10+2V5)(6+2V5) 62-(2V5)2 = 5 + 2 V5, cot2 30°= 3. Hence 6 = V2 + 2VВ 25. 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°. Prove that the length of the pole is twice the height of the...




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