 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°.  Plane and Spherical Trigonometry - Page 93by Henry Nathan Wheeler - 1876 - 208 pagesFull view - About this book
 | University of Cambridge - 1831 - 552 pages
...rectum L meet the axis in T; shew that -7^, = the eccentricity. j3 J. 2. From a station B at the hase of a mountain its summit A is seen at an elevation...walking one mile towards the summit up a plane making 30° with the horizon, to another station C, the angle BCA is observed to be 135°. Find the height... | |
 | Thomas Leybourn - Mathematics - 1835 - 682 pages
...the extremity of the latus rectum / AS meet the axis in T ; shew that -7=- = the eccentricity. A i 8. From a station B at the base of a mountain its summit J is seen at an elevation of 60°: after walking one mile towards the summit up a plane making 30°... | |
 | Mathematics - 1836 - 366 pages
...n be integral or fractional. 78. Express (sin A)4n+i in terms of the sines of the multiple arcs79. From a station B at the base of a mountain, its summit...walking one mile towards the summit up a plane making 30° with the horizon, to another station C, the angle BCA is observed to be 135°. Find the height... | |
 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...and a? = -7 ---- ~ ---- -- ---- • • - . V cosec'' a + cosec2 p — 2 cosec a cosec p cos y Ex. 3. From a station B at the base of a mountain, its summit...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 BCA is observed... | |
 | 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... | |
 | George Wirgman Hemming - 1851 - 176 pages
...A and the same post is 86° 24' 15". Find the distance of the post from A. Ans. 1439 ft. 2 in. 32. From a station B at the base of a mountain its summit...After walking one mile towards the summit up a plane inclined 30° to the horizon to another station C the angle ECA is observed to be 135°. Find the height... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...calculations, necessary for determining the breadth of a river, from stations upon one of its banks. 16. From a 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 of 30° with the horizon, to another station... | |
 | John William Colenso (bp. of Natal.) - 1851 - 382 pages
...angle, then AD-.BD-.-.l- tan'(^ai) : 1 4 tan±(AB). 224. Solve the equation 2 cos2A = 2 sin^í + 1. 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 making... | |
 | John Hind - Trigonometry - 1855 - 540 pages
...Distances. 45. From a station D at the base of a mountain, a A 15 "" С ft E person observes its summit A at an elevation of 60°: after walking one mile towards the summit, along a plane making 30° with the horizon, to another station F, he finds the angle DFA to be 135°... | |
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