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" 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° :... "
First Books on Plane Trigonometry ... - Seite 101
von George Wirgman Hemming - 1851
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Calendar

University of Cambridge - 1831 - 552 Seiten
...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...after 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...
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New Series of The Mathematical Repository, Band 6

Thomas Leybourn - 1835 - 682 Seiten
...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°...
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Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 366 Seiten
...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...after 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...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1846 - 500 Seiten
...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...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 BCA...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 Seiten
...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...
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Plane trigonometry. [With] Solutions of examples. Appendix &c., to adapt the ...

John William Colenso (bp. of Natal.) - 1851 - 382 Seiten
...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...
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The Elements of Plane and Spherical Trigonometry

John Hind - 1855 - 540 Seiten
...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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Plane Trigonometry ...

Isaac Todhunter - 1860 - 318 Seiten
...,, 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...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°....
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Problems and Examples

Harvey Goodwin - 1862 - 174 Seiten
...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 1 mile towards the summit, up a plane making an angle of 30° with the horizon, to another station...
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Plane trigonometry and logarithms

John Walmsley - 1865 - 232 Seiten
...the foot of the mast ; find the height of the mast. 16. From a station В at the base of a monntain, its summit A is seen at an elevation of 60° ; after walking one mile towards the summit of a plane, making an angle of 30° with the horizon, to another station C, the angle BCA is observed...
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