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" ACB are measured, and found to be 126° 35' and 31° 48', respectively. Required the distance AB. 1. A flagpole 40 feet in height stands on the top of a tower. From a position near the base of the tower, the angles of elevation of the top and bottom of... "
Plane Trigonometry - Pàgina 92
per Webster Wells - 1887 - 103 pàgines
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 506 pàgines
...a tower, standing on a hill, was 33° 45', and measuring on level ground 300 yards directly towards the tower, the angles of elevation of the top and bottom of the tower were 51° and 40° respectively. What is the height of the tower ? Ans. 140 yds. Remark. —...
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A Course of Mathematics: Composed for the Use of the Royal Military Academy

Charles Hutton - 1860 - 1020 pàgines
...tower, standing OB tkul, was 33° 45', and, measuring on level ground 300 yards directly toward] tb« tower, the angles of elevation of the top and bottom of the tower were il: and 40° respectively. What is the height of the tower? Ans. UOjA. Remark. — When...
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Elementary Trigonometry

James Hamblin Smith - 1877 - 244 pàgines
...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. (8) A person at a...
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - 1887 - 196 pàgines
...ACB are measured, and found to be 126° 35' and 31° 48', respectively. Required the distance AB. 1. A flagpole 40 feet in height stands on the top of...A is exactly in line with two inaccessible objects B and C. He measures a line AD, 500 feet in length, making the angle BAD = 60°, and at D observes...
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Elementary Trigonometry

John Maximilian Dyer - 1891 - 306 pàgines
...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. (36) In a triangle...
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New Plane and Spherical Trigonometry

Webster Wells - 1896 - 236 pàgines
...between them is 29° 18'. Find the sides and angles of the parallelogram. 14. A flagpole 40 ft. high stands on the top of a tower. From a position near...the pole are 38° 53' and 20° 18', respectively. Find the distance and height of the tower. 15. AD and BC are the parallel sides of a trapezoid ABCD;...
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New Plane and Spherical Trigonometry, Surveying and Navigation

George Albert Wentworth - 1896 - 394 pàgines
...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 mound. bet I = length of...
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Executive Documents, Minnesota ..., Volum 1

Minnesota - 1903 - 1096 pàgines
...formula for the area of an oblique triangle, when the three sides are given. 9. A flag pole 40 feet high stands on the top of a tower. From a position near...the angles of elevation of the top and bottom of the poles are 38° 53' and 20° 18' respectively. Find the distance and height of the tower. ZOOLOGY. 1....
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Plane Geometry

John Wesley Young, Albert John Schwartz - 1915 - 250 pàgines
...elevation is 30°. Find the height of the tree. 41. A 60-ft. pole stands on the top of a mound. If the angles of elevation of the top and bottom of the pole from a certain point are 60° and 45°, respectively, find the height of the mound above the point...
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