 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 - Page 140by James Morford Taylor - 1904 - 171 pagesFull view - About this book
 | George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 298 pages
...that the height of the tower is — - ; the tangent of 18° being . • V 2 + 2 V5 V 10 + 2 V5 24. A pole is fixed on the top of a mound, and the angles...length of the pole is twice the height of the mound. 25. At a distance a from the foot of a tower, the angle of elevation A of the top of the tower is the... | |
 | James Morford Taylor - Trigonometry - 1905 - 256 pages
...xs-24x-32 = 0. 116. 2x3 -3x -1 = 0. 115. x3-Gx2 + 6x + 8 = 0. 117. a;3 + 3x2-1 = 0. EXERCISE ХХХШ TRIANGLES 1. Two towers are 3 mi. apart on a plain....an angle of 9" at the sun. Find the distance of the suu from the earth. 12. Solve example 1 in § 57 by the principles of right triangles. The given parts... | |
 | James Morford Taylor - Trigonometry - 1905 - 256 pages
...rock. The angle of elevation of the top of the lighthouse, as observed from a ship, is 4° 52', aud the angle of elevation of the top of the rock is 4° 2'....the mound. 11. Given that the radius of the earth is 3903 mi., and that it subtends an angle of 9" at the sun. Find the distance of the sun from the earth.... | |
 | William Charles Brenke - Algebra - 1910 - 374 pages
...A building surmounted by a flag-pole 20 ft. high stands on level ground. From a point on the ground the angles of elevation of the top and the bottom of the pole are 53° 5' and 45° 11' respectively. How high is the building ? 78. On approaching 1 mile toward a hill,... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 490 pages
...and B = 67° 30'. Find the height of the cloud if AB = 3 mi. 82. A flagstaff 30 ft. high stands on top of a mound, and the angles of elevation of the top and the bottom of the pole are respectively 60° and 30°. Find the height of the mound. 83. The track ABC consists of a straight... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...and B = 67° 30'. Find the height of the cloud if AB = 3 mi. 82. A flagstaff 30 ft. high stands on top of a mound, and the angles of elevation of the top and the bottom of the pole are respectively 60° and 30°. Find the height of the mound. 83. The track ABC consists of a straight... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...and B = 67° 30'. Find the height of the cloud if AB = 3 mi. 82. A flagstaff 30 ft. high stands on top of a mound, and the angles of elevation of the top and the bottom of the pole are respectively 60° and 30°. Find the height of the mound. 83. The track ABC consists of a straight... | |
 | Matilda Auerbach, Charles Burton Walsh - Geometry, Plane - 1920 - 408 pages
...flagstaff 25 ft. high stands on the top of a house. From a point on the plane on which the house stands, the angles of elevation of the top and the bottom of the flagstaff are observed to be 60° and 45° respectively. Find the height of the house. 507. A man walking... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...and B = 67° 30'. Find the height of the cloud if AB = 3 mi. 82. A flagstaff 30 ft. high stands on top of a mound, and the angles of elevation of the top and the bottom of the pole are respectively 60° and 30°. Find the height of the mound. 83. The track ABC consists of a straight... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...and B = 67° 30'. Find the height of the cloud if AB = 3 mi. ; 82. A flagstaff 30 ft. high stands on top of a mound, and the angles of elevation of the top and the bottom of the pole are respectively 60° and 30°. Find the height of the mound. 83. The track ABC consists of a straight... | |
| |
