| Mathematics - 1836 - 366 pages
...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... | |
| Education - 1843 - 582 pages
...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,... | |
| Scottish school-book assoc - 1845 - 444 pages
...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 tower, and... | |
| Harvey Goodwin (bp. of Carlisle.) - Mathematics - 1847 - 136 pages
...angle was taken, the angular height of the mountain was 11° 18'. Required the mountain's height. 4. A person standing at the edge of a river observes...drawn from his eye parallel to the horizon ; receding 30 feet, he finds it to subtend an angle of 48°. Determine the breadth of the river. 5. A person on... | |
| Education - 1852 - 478 pages
...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...feet, he then finds it to subtend an angle of 48°. Determine the breadth of the river. log. sin 7° = 9.0S589 log. sin 35° = 9."5859 log. sin 48° =... | |
| Bengal council of educ - 1852 - 348 pages
...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...feet, he then finds it to subtend an angle of 48°. Determine the breadth of the river. log. sin 7° = 9.08589 log. sin 35° = 9-75859 log. sin 48° =... | |
| John Hymers - Logarithms - 1858 - 324 pages
...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... | |
| War office - 1858 - 578 pages
...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... | |
| John Hymers - Logarithms - 1858 - 292 pages
...the edge of 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 of 48°. Required the breadth of the river. ч L sin 7° = 9-08589, L sin 35° = Э'75859, L sin 48е = 9-87107,... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...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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