 From a station, B, at the base of a mountain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit, up a plane making an angle of 30° with the horizon, to another station, C, the angle . .BCA is observed to be 135°...  The Elements of Plane Trigonometry - Page 93by Henry Nathan Wheeler - 1876Full view - About this book
 | University of Cambridge - 1831 - 552 pages
...summit A is seen at an elevation of 60° ; after walking one mile towards the summit up a plane making 30° with the horizon, to another station C, the angle...be 135°. Find the height of the mountain in yards. 3. A mortgage is taken on an estate worth N acres of it ; land rises « per cent, in price, and in... | |
 | Mathematics - 1836 - 366 pages
...summit A is seen at an elevation of 60° : after walking one mile towards the summit up a plane making 30° with the horizon, to another station C, the angle...be 135°. Find the height of the mountain in yards. 80. An indefinite area is to be divided into similar and equal regular figures. Shew by what figures... | |
 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...; after walking one mile towards the summit up a plane making art angle of 30° CLANB TRIGONOMRTRY. with the horizon, to another station C, the angle...observed to be 135°. Find the height of the mountain. From the triangle ABC, we have BC. sin BAC ' sin BCA sin (BCA + ABC) BC.sin 135° sin (l35°+ 30°)... | |
 | Harvey Goodwin (bp. of Carlisle.) - Mathematics - 1847 - 136 pages
...calculations, necessary for determining the breadth of a river, from stations upon one of its banks. the horizon, to another station C, the angle BCA is...be 135°. Find the height of the mountain in yards. 17- An object 6 feet high, placed on the top of a tower, subtends an angle the tangent of which is... | |
 | Harvey Goodwin - Mathematics - 1849 - 588 pages
...cosec a cosec ft cos y, a and x ma =• . V cosec2 a + cosec2 ft — 2 cosec a cosec ft cos y Ex. 3. From a station B at the base of a mountain, its summit...with the horizon, to another station C, the angle EC A is observed to be 135°. Find the height of the mountain. From the triangle ABC, we have sin BCA... | |
 | John William Colenso (bp. of Natal.) - 1851 - 382 pages
...225. From a station B, at the base of a mountain, its summit Л is seen at an elevation of 60°; and, after walking one mile towards the summit, up a plane...station C, the angle BCA is observed to be 135°. Find, in feet, the height of the mountain above the horizontal plane at B. 226. If seca Kfc.O 4 tana b>i>(>... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...station B, at the base of a mountain, its summit A is seen at an elevation of 60°; after walking l mile towards the summit, up a plane making an angle...with the horizon, to another station C, the angle EGA is observed to be 135°. Find the height of the mountain in yards. 17. An object 6 feet high, placed... | |
 | Isaac Todhunter - 1860 - 318 pages
...,, 7 A sin .B cos (7 therefore k = r— .. sin .4 thus the ratio of k to h is found. EXAMPLES. 1 . From a station B at the base of a mountain its summit...be 135°. Find the height of the mountain in yards. 2. The altitude of a tower is observed to be 30° at. the end of a horizontal base of 100 yards measured... | |
 | Harvey Goodwin - 1862 - 174 pages
...station B, at the base of a mountain, its summit A is seen at an elevation of 60°; after walking 1 mile towards the summit, up a plane making an angle...be 135°. Find the height of the mountain in yards. 17. An object 6 feet high, placed on the top of a tower, subtends an angle the tangent of which is... | |
 | Isaac Todhunter - Plane trigonometry - 1864 - 298 pages
..... . , h sin -B cos C therefore k = : — . , sin A thus the ratio of k to h is found. EXAMPLES. 1 . From a, station B at the base of a mountain its summit...30° with the horizon to another station C, the angle BOA is observed to be 135°. Find the height of the mountain in yards. 2. The altitude of a tower is... | |
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