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" A person standing at the edge of a river observes that the top of a tower on the edge of the opposite side subtends an angle of 55° with a line drawn from his eye parallel to the horizon ; receding backwards 30 feet, he then finds it to subtend an angle... "
A collection of problems and examples adapted to the 'Elementary course of ... - Side 52
av Harvey Goodwin (bp. of Carlisle.) - 1847 - 80 sider
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 sider
...Assuming cos A = ^ , deduce an expression /&OC for the area of a triangle in terms of the sides. 84. A person standing at the edge of a river observes...the opposite side subtends an angle of 55° with a horizontal line drawn from his eye ; receding backwards 30 feet, he then finds it to subtend an angle...
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General Report on Public Instruction in the Bengal Presidency

1843 - 582 sider
...as A increases from 0» to 360°. shew that tan. *£ г *™' i"*1"- s A" *= 2 sin. Af.sin. Z A. !2- A person standing at the edge of a river observes that the top of a tower on the opposite side subtends an angle of 65° with a horizonЫ line drawn from his eye : receding 30 feet,...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 444 sider
...a river, observed that the top of a tower placed on the opposite side, subtended an angle of 59°, with a line drawn from his eye parallel to the horizon; receding backwards for 50 feet, he then found that it subtended an angle of 49°. Required the height of the...
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General Report on Public Instruction in the Bengal Presidency

1852 - 478 sider
...terms of its tangent, and apply the formula to obtain a rapidly converging series for calculating v. 8. A person standing at the edge of a river observes...drawn from his eye parallel to the horizon ; receding backwards 30 feet, he then finds it to subtend an angle of 48°. Determine the breadth of the river....
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 sider
...of its tangent, and apply the formula to obtain a rapidly converging series for calculating TT. (8.) A person standing at the edge of a river observes...drawn from his eye parallel to the horizon ; receding backwards 30 feet, he then finds it to subtend an angle of 48°. Determine the breadth of the river....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 sider
...angles of a triangle, show that, — ABC1 sin A + sin B + sin C = 4 cos 5- cos ^ cos •$ At £ i~ . 3. A person standing at the edge of a river observes...the opposite side subtends an angle of 55°, with a horizontal line drawn from his eye ; receding backwards 30 feet, he then finds it to subtend an angle...
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - 1858 - 324 sider
...BAC~ 20(1 + tan» BA C) ~ 100 ; 57° 29577 .'. ¿ PAC = '— -'--— = 0". 5729577 = 34'. 22",64. 54. A person standing at the edge of a river, observes...the opposite side subtends an angle of 55° with a horizontal line drawn through his eye ; receding backwards 30 feet he then finds it to subtend an angle...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 sider
...(3) sin 3 A sin 3A + cos 3 A cos 3A = cos 32A 3. Show that in any triangle 10 KOYAL MILITARY COLLEGE. 4. A person standing at the edge of a river observes...the edge of the opposite side subtends an angle of 52° with a horizontal line drawn from his eye ; he then recedes from the river through 40 feet and...
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Plane Trigonometry ...

Isaac Todhunter - 1860 - 318 sider
...space OC/=d; here he finds that AC, CB subtend angles a', ft respectively. Find the distance AB. 31. A person standing at the edge of a river observes...the opposite side subtends an angle of 55° with a horizontal line drawn from his eye ; receding backwards 30 feet he then finds it to subtend an angle...
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Problems and Examples

Harvey Goodwin - 1862 - 174 sider
...also at the extremity from which the latter angle was taken, the angular height of the mountain was y. Required the mountain's height. 4. A person standing...the edge of the opposite side subtends an angle of 60" with a line drawn from his eye parallel to the horizon ; receding 30 feet, he finds it to subtend...
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